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Finding the Fourth Proportional to 10,471.88, 15,707.60 and 3,076.16

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Solution

The fourth proportional to 10,471.88, 15,707.60 and 3,076.16 is: 4,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.88 : 15,707.60 = 3,076.16 : x
  2. Step 2: Convert to fraction form
    10,471.88/15,707.60 = 3,076.16/x
  3. Step 3: Cross multiply
    10,471.88x = 15,707.60 × 3,076.16
  4. Step 4: Simplify right side
    10,471.88x = 48,319,090.82
  5. Step 5: Solve for x
    x = 48,319,090.82/10,471.88
  6. Step 6: Final answer
    x = 4,614.18

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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.