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Finding the Fourth Proportional to 8,292.53, 11,434.92 and 6,404.42

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Solution

The fourth proportional to 8,292.53, 11,434.92 and 6,404.42 is: 8,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.53 : 11,434.92 = 6,404.42 : x
  2. Step 2: Convert to fraction form
    8,292.53/11,434.92 = 6,404.42/x
  3. Step 3: Cross multiply
    8,292.53x = 11,434.92 × 6,404.42
  4. Step 4: Simplify right side
    8,292.53x = 73,233,973.17
  5. Step 5: Solve for x
    x = 73,233,973.17/8,292.53
  6. Step 6: Final answer
    x = 8,831.32

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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.