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Finding the Fourth Proportional to 7,710.47, 10,640.92 and 4,352.06

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Solution

The fourth proportional to 7,710.47, 10,640.92 and 4,352.06 is: 6,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.47 : 10,640.92 = 4,352.06 : x
  2. Step 2: Convert to fraction form
    7,710.47/10,640.92 = 4,352.06/x
  3. Step 3: Cross multiply
    7,710.47x = 10,640.92 × 4,352.06
  4. Step 4: Simplify right side
    7,710.47x = 46,309,869.09
  5. Step 5: Solve for x
    x = 46,309,869.09/7,710.47
  6. Step 6: Final answer
    x = 6,006.11

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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.