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Finding the Fourth Proportional to 7,645.68, 10,552.92 and 4,663.16

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Solution

The fourth proportional to 7,645.68, 10,552.92 and 4,663.16 is: 6,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.68 : 10,552.92 = 4,663.16 : x
  2. Step 2: Convert to fraction form
    7,645.68/10,552.92 = 4,663.16/x
  3. Step 3: Cross multiply
    7,645.68x = 10,552.92 × 4,663.16
  4. Step 4: Simplify right side
    7,645.68x = 49,209,954.43
  5. Step 5: Solve for x
    x = 49,209,954.43/7,645.68
  6. Step 6: Final answer
    x = 6,436.31

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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.