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Finding the Fourth Proportional to 16,006.64, 24,010.16 and 7,685.10

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Solution

The fourth proportional to 16,006.64, 24,010.16 and 7,685.10 is: 11,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.64 : 24,010.16 = 7,685.10 : x
  2. Step 2: Convert to fraction form
    16,006.64/24,010.16 = 7,685.10/x
  3. Step 3: Cross multiply
    16,006.64x = 24,010.16 × 7,685.10
  4. Step 4: Simplify right side
    16,006.64x = 184,520,442.19
  5. Step 5: Solve for x
    x = 184,520,442.19/16,006.64
  6. Step 6: Final answer
    x = 11,527.75

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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.