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Finding the Fourth Proportional to 14,417.52, 21,609 and 6,624.24

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Solution

The fourth proportional to 14,417.52, 21,609 and 6,624.24 is: 9,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.52 : 21,609 = 6,624.24 : x
  2. Step 2: Convert to fraction form
    14,417.52/21,609 = 6,624.24/x
  3. Step 3: Cross multiply
    14,417.52x = 21,609 × 6,624.24
  4. Step 4: Simplify right side
    14,417.52x = 143,143,202.16
  5. Step 5: Solve for x
    x = 143,143,202.16/14,417.52
  6. Step 6: Final answer
    x = 9,928.42

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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.