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Finding the Fourth Proportional to 15,039.84, 22,558.14 and 7,649

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Solution

The fourth proportional to 15,039.84, 22,558.14 and 7,649 is: 11,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,039.84 : 22,558.14 = 7,649 : x
  2. Step 2: Convert to fraction form
    15,039.84/22,558.14 = 7,649/x
  3. Step 3: Cross multiply
    15,039.84x = 22,558.14 × 7,649
  4. Step 4: Simplify right side
    15,039.84x = 172,547,212.86
  5. Step 5: Solve for x
    x = 172,547,212.86/15,039.84
  6. Step 6: Final answer
    x = 11,472.68

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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.