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Finding the Fourth Proportional to 14,463.52, 19,959.14 and 8,175.76

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Solution

The fourth proportional to 14,463.52, 19,959.14 and 8,175.76 is: 11,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.52 : 19,959.14 = 8,175.76 : x
  2. Step 2: Convert to fraction form
    14,463.52/19,959.14 = 8,175.76/x
  3. Step 3: Cross multiply
    14,463.52x = 19,959.14 × 8,175.76
  4. Step 4: Simplify right side
    14,463.52x = 163,181,138.45
  5. Step 5: Solve for x
    x = 163,181,138.45/14,463.52
  6. Step 6: Final answer
    x = 11,282.26

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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.