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Finding the Fourth Proportional to 13,710.77, 18,920.93 and 7,423.15

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Solution

The fourth proportional to 13,710.77, 18,920.93 and 7,423.15 is: 10,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.77 : 18,920.93 = 7,423.15 : x
  2. Step 2: Convert to fraction form
    13,710.77/18,920.93 = 7,423.15/x
  3. Step 3: Cross multiply
    13,710.77x = 18,920.93 × 7,423.15
  4. Step 4: Simplify right side
    13,710.77x = 140,452,817.11
  5. Step 5: Solve for x
    x = 140,452,817.11/13,710.77
  6. Step 6: Final answer
    x = 10,243.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.