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Finding the Fourth Proportional to 16,646.31, 24,924.92 and 9,590.40

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Solution

The fourth proportional to 16,646.31, 24,924.92 and 9,590.40 is: 14,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.31 : 24,924.92 = 9,590.40 : x
  2. Step 2: Convert to fraction form
    16,646.31/24,924.92 = 9,590.40/x
  3. Step 3: Cross multiply
    16,646.31x = 24,924.92 × 9,590.40
  4. Step 4: Simplify right side
    16,646.31x = 239,039,904.82
  5. Step 5: Solve for x
    x = 239,039,904.82/16,646.31
  6. Step 6: Final answer
    x = 14,359.93

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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.