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Finding the Fourth Proportional to 22,881.92, 34,323.20 and 6,465.92

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Solution

The fourth proportional to 22,881.92, 34,323.20 and 6,465.92 is: 9,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,881.92 : 34,323.20 = 6,465.92 : x
  2. Step 2: Convert to fraction form
    22,881.92/34,323.20 = 6,465.92/x
  3. Step 3: Cross multiply
    22,881.92x = 34,323.20 × 6,465.92
  4. Step 4: Simplify right side
    22,881.92x = 221,931,065.34
  5. Step 5: Solve for x
    x = 221,931,065.34/22,881.92
  6. Step 6: Final answer
    x = 9,698.97

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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.