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Finding the Fourth Proportional to 17,952, 24,776.64 and 10,498.56

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Solution

The fourth proportional to 17,952, 24,776.64 and 10,498.56 is: 14,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,952 : 24,776.64 = 10,498.56 : x
  2. Step 2: Convert to fraction form
    17,952/24,776.64 = 10,498.56/x
  3. Step 3: Cross multiply
    17,952x = 24,776.64 × 10,498.56
  4. Step 4: Simplify right side
    17,952x = 260,119,041.64
  5. Step 5: Solve for x
    x = 260,119,041.64/17,952
  6. Step 6: Final answer
    x = 14,489.70

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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.