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Finding the Fourth Proportional to 14,159.12, 19,538.28 and 7,871.12

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Solution

The fourth proportional to 14,159.12, 19,538.28 and 7,871.12 is: 10,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.12 : 19,538.28 = 7,871.12 : x
  2. Step 2: Convert to fraction form
    14,159.12/19,538.28 = 7,871.12/x
  3. Step 3: Cross multiply
    14,159.12x = 19,538.28 × 7,871.12
  4. Step 4: Simplify right side
    14,159.12x = 153,788,146.47
  5. Step 5: Solve for x
    x = 153,788,146.47/14,159.12
  6. Step 6: Final answer
    x = 10,861.42

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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.