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Finding the Fourth Proportional to 7,892.56, 10,889.16 and 4,534.48

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Solution

The fourth proportional to 7,892.56, 10,889.16 and 4,534.48 is: 6,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.56 : 10,889.16 = 4,534.48 : x
  2. Step 2: Convert to fraction form
    7,892.56/10,889.16 = 4,534.48/x
  3. Step 3: Cross multiply
    7,892.56x = 10,889.16 × 4,534.48
  4. Step 4: Simplify right side
    7,892.56x = 49,376,678.24
  5. Step 5: Solve for x
    x = 49,376,678.24/7,892.56
  6. Step 6: Final answer
    x = 6,256.10

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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.