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Finding the Fourth Proportional to 6,274.52, 9,411.66 and 1,530.71

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Solution

The fourth proportional to 6,274.52, 9,411.66 and 1,530.71 is: 2,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.52 : 9,411.66 = 1,530.71 : x
  2. Step 2: Convert to fraction form
    6,274.52/9,411.66 = 1,530.71/x
  3. Step 3: Cross multiply
    6,274.52x = 9,411.66 × 1,530.71
  4. Step 4: Simplify right side
    6,274.52x = 14,406,545.61
  5. Step 5: Solve for x
    x = 14,406,545.61/6,274.52
  6. Step 6: Final answer
    x = 2,296.04

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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.