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Finding the Fourth Proportional to 14,248.14, 21,357 and 7,233.36

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Solution

The fourth proportional to 14,248.14, 21,357 and 7,233.36 is: 10,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,248.14 : 21,357 = 7,233.36 : x
  2. Step 2: Convert to fraction form
    14,248.14/21,357 = 7,233.36/x
  3. Step 3: Cross multiply
    14,248.14x = 21,357 × 7,233.36
  4. Step 4: Simplify right side
    14,248.14x = 154,482,869.52
  5. Step 5: Solve for x
    x = 154,482,869.52/14,248.14
  6. Step 6: Final answer
    x = 10,842.32

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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.