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Finding the Fourth Proportional to 10,407.84, 14,363.10 and 6,218.52

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Solution

The fourth proportional to 10,407.84, 14,363.10 and 6,218.52 is: 8,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.84 : 14,363.10 = 6,218.52 : x
  2. Step 2: Convert to fraction form
    10,407.84/14,363.10 = 6,218.52/x
  3. Step 3: Cross multiply
    10,407.84x = 14,363.10 × 6,218.52
  4. Step 4: Simplify right side
    10,407.84x = 89,317,224.61
  5. Step 5: Solve for x
    x = 89,317,224.61/10,407.84
  6. Step 6: Final answer
    x = 8,581.73

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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.