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Finding the Fourth Proportional to 16,590.24, 22,894 and 9,874.32

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Solution

The fourth proportional to 16,590.24, 22,894 and 9,874.32 is: 13,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590.24 : 22,894 = 9,874.32 : x
  2. Step 2: Convert to fraction form
    16,590.24/22,894 = 9,874.32/x
  3. Step 3: Cross multiply
    16,590.24x = 22,894 × 9,874.32
  4. Step 4: Simplify right side
    16,590.24x = 226,062,682.08
  5. Step 5: Solve for x
    x = 226,062,682.08/16,590.24
  6. Step 6: Final answer
    x = 13,626.25

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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.