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Finding the Fourth Proportional to 14,856.25, 20,503.88 and 9,481

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Solution

The fourth proportional to 14,856.25, 20,503.88 and 9,481 is: 13,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.25 : 20,503.88 = 9,481 : x
  2. Step 2: Convert to fraction form
    14,856.25/20,503.88 = 9,481/x
  3. Step 3: Cross multiply
    14,856.25x = 20,503.88 × 9,481
  4. Step 4: Simplify right side
    14,856.25x = 194,397,286.28
  5. Step 5: Solve for x
    x = 194,397,286.28/14,856.25
  6. Step 6: Final answer
    x = 13,085.22

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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.