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Finding the Fourth Proportional to 21,737.81, 32,597.22 and 7,693.17

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Solution

The fourth proportional to 21,737.81, 32,597.22 and 7,693.17 is: 11,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,737.81 : 32,597.22 = 7,693.17 : x
  2. Step 2: Convert to fraction form
    21,737.81/32,597.22 = 7,693.17/x
  3. Step 3: Cross multiply
    21,737.81x = 32,597.22 × 7,693.17
  4. Step 4: Simplify right side
    21,737.81x = 250,776,044.96
  5. Step 5: Solve for x
    x = 250,776,044.96/21,737.81
  6. Step 6: Final answer
    x = 11,536.40

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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.