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Finding the Fourth Proportional to 16,006.01, 24,009 and 4,319.22

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Solution

The fourth proportional to 16,006.01, 24,009 and 4,319.22 is: 6,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.01 : 24,009 = 4,319.22 : x
  2. Step 2: Convert to fraction form
    16,006.01/24,009 = 4,319.22/x
  3. Step 3: Cross multiply
    16,006.01x = 24,009 × 4,319.22
  4. Step 4: Simplify right side
    16,006.01x = 103,700,152.98
  5. Step 5: Solve for x
    x = 103,700,152.98/16,006.01
  6. Step 6: Final answer
    x = 6,478.83

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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.