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Finding the Fourth Proportional to 7,587.81, 10,472.94 and 4,930.61

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Solution

The fourth proportional to 7,587.81, 10,472.94 and 4,930.61 is: 6,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.81 : 10,472.94 = 4,930.61 : x
  2. Step 2: Convert to fraction form
    7,587.81/10,472.94 = 4,930.61/x
  3. Step 3: Cross multiply
    7,587.81x = 10,472.94 × 4,930.61
  4. Step 4: Simplify right side
    7,587.81x = 51,637,930.33
  5. Step 5: Solve for x
    x = 51,637,930.33/7,587.81
  6. Step 6: Final answer
    x = 6,805.38

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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.