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Finding the Fourth Proportional to 7,316.92, 10,097.10 and 4,174.12

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Solution

The fourth proportional to 7,316.92, 10,097.10 and 4,174.12 is: 5,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.92 : 10,097.10 = 4,174.12 : x
  2. Step 2: Convert to fraction form
    7,316.92/10,097.10 = 4,174.12/x
  3. Step 3: Cross multiply
    7,316.92x = 10,097.10 × 4,174.12
  4. Step 4: Simplify right side
    7,316.92x = 42,146,507.05
  5. Step 5: Solve for x
    x = 42,146,507.05/7,316.92
  6. Step 6: Final answer
    x = 5,760.14

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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.