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Finding the Fourth Proportional to 16,003.77, 24,005.67 and 4,317

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Solution

The fourth proportional to 16,003.77, 24,005.67 and 4,317 is: 6,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.77 : 24,005.67 = 4,317 : x
  2. Step 2: Convert to fraction form
    16,003.77/24,005.67 = 4,317/x
  3. Step 3: Cross multiply
    16,003.77x = 24,005.67 × 4,317
  4. Step 4: Simplify right side
    16,003.77x = 103,632,477.39
  5. Step 5: Solve for x
    x = 103,632,477.39/16,003.77
  6. Step 6: Final answer
    x = 6,475.50

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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.