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Finding the Fourth Proportional to 10,013.76, 15,020.10 and 2,993.76

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Solution

The fourth proportional to 10,013.76, 15,020.10 and 2,993.76 is: 4,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.76 : 15,020.10 = 2,993.76 : x
  2. Step 2: Convert to fraction form
    10,013.76/15,020.10 = 2,993.76/x
  3. Step 3: Cross multiply
    10,013.76x = 15,020.10 × 2,993.76
  4. Step 4: Simplify right side
    10,013.76x = 44,966,574.58
  5. Step 5: Solve for x
    x = 44,966,574.58/10,013.76
  6. Step 6: Final answer
    x = 4,490.48

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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.