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Finding the Fourth Proportional to 7,683.87, 10,604.54 and 4,701.69

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Solution

The fourth proportional to 7,683.87, 10,604.54 and 4,701.69 is: 6,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.87 : 10,604.54 = 4,701.69 : x
  2. Step 2: Convert to fraction form
    7,683.87/10,604.54 = 4,701.69/x
  3. Step 3: Cross multiply
    7,683.87x = 10,604.54 × 4,701.69
  4. Step 4: Simplify right side
    7,683.87x = 49,859,259.67
  5. Step 5: Solve for x
    x = 49,859,259.67/7,683.87
  6. Step 6: Final answer
    x = 6,488.82

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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.