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Finding the Fourth Proportional to 8,032.84, 12,049.22 and 5,358.77

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Solution

The fourth proportional to 8,032.84, 12,049.22 and 5,358.77 is: 8,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.84 : 12,049.22 = 5,358.77 : x
  2. Step 2: Convert to fraction form
    8,032.84/12,049.22 = 5,358.77/x
  3. Step 3: Cross multiply
    8,032.84x = 12,049.22 × 5,358.77
  4. Step 4: Simplify right side
    8,032.84x = 64,569,001.99
  5. Step 5: Solve for x
    x = 64,569,001.99/8,032.84
  6. Step 6: Final answer
    x = 8,038.13

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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.