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Finding the Fourth Proportional to 10,047.80, 13,866.11 and 5,510.91

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Solution

The fourth proportional to 10,047.80, 13,866.11 and 5,510.91 is: 7,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.80 : 13,866.11 = 5,510.91 : x
  2. Step 2: Convert to fraction form
    10,047.80/13,866.11 = 5,510.91/x
  3. Step 3: Cross multiply
    10,047.80x = 13,866.11 × 5,510.91
  4. Step 4: Simplify right side
    10,047.80x = 76,414,884.26
  5. Step 5: Solve for x
    x = 76,414,884.26/10,047.80
  6. Step 6: Final answer
    x = 7,605.14

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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.