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Finding the Fourth Proportional to 10,076.10, 15,114.15 and 3,920.10

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Solution

The fourth proportional to 10,076.10, 15,114.15 and 3,920.10 is: 5,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.10 : 15,114.15 = 3,920.10 : x
  2. Step 2: Convert to fraction form
    10,076.10/15,114.15 = 3,920.10/x
  3. Step 3: Cross multiply
    10,076.10x = 15,114.15 × 3,920.10
  4. Step 4: Simplify right side
    10,076.10x = 59,248,979.42
  5. Step 5: Solve for x
    x = 59,248,979.42/10,076.10
  6. Step 6: Final answer
    x = 5,880.15

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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.