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Finding the Fourth Proportional to 14,876.76, 22,315.12 and 5,642.76

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Solution

The fourth proportional to 14,876.76, 22,315.12 and 5,642.76 is: 8,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.76 : 22,315.12 = 5,642.76 : x
  2. Step 2: Convert to fraction form
    14,876.76/22,315.12 = 5,642.76/x
  3. Step 3: Cross multiply
    14,876.76x = 22,315.12 × 5,642.76
  4. Step 4: Simplify right side
    14,876.76x = 125,918,866.53
  5. Step 5: Solve for x
    x = 125,918,866.53/14,876.76
  6. Step 6: Final answer
    x = 8,464.13

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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.