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Finding the Fourth Proportional to 9,719.13, 13,414.02 and 7,357.17

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Solution

The fourth proportional to 9,719.13, 13,414.02 and 7,357.17 is: 10,154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.13 : 13,414.02 = 7,357.17 : x
  2. Step 2: Convert to fraction form
    9,719.13/13,414.02 = 7,357.17/x
  3. Step 3: Cross multiply
    9,719.13x = 13,414.02 × 7,357.17
  4. Step 4: Simplify right side
    9,719.13x = 98,689,225.52
  5. Step 5: Solve for x
    x = 98,689,225.52/9,719.13
  6. Step 6: Final answer
    x = 10,154.12

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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.