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Finding the Fourth Proportional to 6,097.61, 9,148.14 and 1,715.11

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Solution

The fourth proportional to 6,097.61, 9,148.14 and 1,715.11 is: 2,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.61 : 9,148.14 = 1,715.11 : x
  2. Step 2: Convert to fraction form
    6,097.61/9,148.14 = 1,715.11/x
  3. Step 3: Cross multiply
    6,097.61x = 9,148.14 × 1,715.11
  4. Step 4: Simplify right side
    6,097.61x = 15,690,043.53
  5. Step 5: Solve for x
    x = 15,690,043.53/6,097.61
  6. Step 6: Final answer
    x = 2,573.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.