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Finding the Fourth Proportional to 14,876.76, 22,275.16 and 7,842.14

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Solution

The fourth proportional to 14,876.76, 22,275.16 and 7,842.14 is: 11,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.76 : 22,275.16 = 7,842.14 : x
  2. Step 2: Convert to fraction form
    14,876.76/22,275.16 = 7,842.14/x
  3. Step 3: Cross multiply
    14,876.76x = 22,275.16 × 7,842.14
  4. Step 4: Simplify right side
    14,876.76x = 174,684,993.58
  5. Step 5: Solve for x
    x = 174,684,993.58/14,876.76
  6. Step 6: Final answer
    x = 11,742.14

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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.