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Finding the Fourth Proportional to 7,737.89, 10,681.07 and 4,594.07

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Solution

The fourth proportional to 7,737.89, 10,681.07 and 4,594.07 is: 6,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.89 : 10,681.07 = 4,594.07 : x
  2. Step 2: Convert to fraction form
    7,737.89/10,681.07 = 4,594.07/x
  3. Step 3: Cross multiply
    7,737.89x = 10,681.07 × 4,594.07
  4. Step 4: Simplify right side
    7,737.89x = 49,069,586.99
  5. Step 5: Solve for x
    x = 49,069,586.99/7,737.89
  6. Step 6: Final answer
    x = 6,341.47

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Half scale
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Double scale
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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.