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Finding the Fourth Proportional to 7,737.84, 10,674.72 and 4,594.08

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Solution

The fourth proportional to 7,737.84, 10,674.72 and 4,594.08 is: 6,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.84 : 10,674.72 = 4,594.08 : x
  2. Step 2: Convert to fraction form
    7,737.84/10,674.72 = 4,594.08/x
  3. Step 3: Cross multiply
    7,737.84x = 10,674.72 × 4,594.08
  4. Step 4: Simplify right side
    7,737.84x = 49,040,517.66
  5. Step 5: Solve for x
    x = 49,040,517.66/7,737.84
  6. Step 6: Final answer
    x = 6,337.75

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.