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Finding the Fourth Proportional to 6,565.72, 9,831.30 and 5,027.80

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Solution

The fourth proportional to 6,565.72, 9,831.30 and 5,027.80 is: 7,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.72 : 9,831.30 = 5,027.80 : x
  2. Step 2: Convert to fraction form
    6,565.72/9,831.30 = 5,027.80/x
  3. Step 3: Cross multiply
    6,565.72x = 9,831.30 × 5,027.80
  4. Step 4: Simplify right side
    6,565.72x = 49,429,810.14
  5. Step 5: Solve for x
    x = 49,429,810.14/6,565.72
  6. Step 6: Final answer
    x = 7,528.47

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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.