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Finding the Fourth Proportional to 14,876.40, 20,530.42 and 10,844.16

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Solution

The fourth proportional to 14,876.40, 20,530.42 and 10,844.16 is: 14,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.40 : 20,530.42 = 10,844.16 : x
  2. Step 2: Convert to fraction form
    14,876.40/20,530.42 = 10,844.16/x
  3. Step 3: Cross multiply
    14,876.40x = 20,530.42 × 10,844.16
  4. Step 4: Simplify right side
    14,876.40x = 222,635,159.35
  5. Step 5: Solve for x
    x = 222,635,159.35/14,876.40
  6. Step 6: Final answer
    x = 14,965.66

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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.