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Finding the Fourth Proportional to 9,711.60, 13,398.12 and 7,053.18

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Solution

The fourth proportional to 9,711.60, 13,398.12 and 7,053.18 is: 9,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.60 : 13,398.12 = 7,053.18 : x
  2. Step 2: Convert to fraction form
    9,711.60/13,398.12 = 7,053.18/x
  3. Step 3: Cross multiply
    9,711.60x = 13,398.12 × 7,053.18
  4. Step 4: Simplify right side
    9,711.60x = 94,499,352.02
  5. Step 5: Solve for x
    x = 94,499,352.02/9,711.60
  6. Step 6: Final answer
    x = 9,730.56

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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.