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Finding the Fourth Proportional to 10,671.80, 16,007.70 and 10,023.80

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Solution

The fourth proportional to 10,671.80, 16,007.70 and 10,023.80 is: 15,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.80 : 16,007.70 = 10,023.80 : x
  2. Step 2: Convert to fraction form
    10,671.80/16,007.70 = 10,023.80/x
  3. Step 3: Cross multiply
    10,671.80x = 16,007.70 × 10,023.80
  4. Step 4: Simplify right side
    10,671.80x = 160,457,983.26
  5. Step 5: Solve for x
    x = 160,457,983.26/10,671.80
  6. Step 6: Final answer
    x = 15,035.70

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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.