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Finding the Fourth Proportional to 7,807.52, 11,717.16 and 5,732.96

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Solution

The fourth proportional to 7,807.52, 11,717.16 and 5,732.96 is: 8,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.52 : 11,717.16 = 5,732.96 : x
  2. Step 2: Convert to fraction form
    7,807.52/11,717.16 = 5,732.96/x
  3. Step 3: Cross multiply
    7,807.52x = 11,717.16 × 5,732.96
  4. Step 4: Simplify right side
    7,807.52x = 67,174,009.59
  5. Step 5: Solve for x
    x = 67,174,009.59/7,807.52
  6. Step 6: Final answer
    x = 8,603.76

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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.