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Finding the Fourth Proportional to 13,985.70, 21,002.85 and 7,424.70

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Solution

The fourth proportional to 13,985.70, 21,002.85 and 7,424.70 is: 11,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.70 : 21,002.85 = 7,424.70 : x
  2. Step 2: Convert to fraction form
    13,985.70/21,002.85 = 7,424.70/x
  3. Step 3: Cross multiply
    13,985.70x = 21,002.85 × 7,424.70
  4. Step 4: Simplify right side
    13,985.70x = 155,939,860.40
  5. Step 5: Solve for x
    x = 155,939,860.40/13,985.70
  6. Step 6: Final answer
    x = 11,149.95

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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.