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Finding the Fourth Proportional to 10,082.02, 13,913.13 and 5,605.50

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Solution

The fourth proportional to 10,082.02, 13,913.13 and 5,605.50 is: 7,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.02 : 13,913.13 = 5,605.50 : x
  2. Step 2: Convert to fraction form
    10,082.02/13,913.13 = 5,605.50/x
  3. Step 3: Cross multiply
    10,082.02x = 13,913.13 × 5,605.50
  4. Step 4: Simplify right side
    10,082.02x = 77,990,123.41
  5. Step 5: Solve for x
    x = 77,990,123.41/10,082.02
  6. Step 6: Final answer
    x = 7,735.57

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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.