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Finding the Fourth Proportional to 7,144.16, 9,857.04 and 4,627.04

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Solution

The fourth proportional to 7,144.16, 9,857.04 and 4,627.04 is: 6,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.16 : 9,857.04 = 4,627.04 : x
  2. Step 2: Convert to fraction form
    7,144.16/9,857.04 = 4,627.04/x
  3. Step 3: Cross multiply
    7,144.16x = 9,857.04 × 4,627.04
  4. Step 4: Simplify right side
    7,144.16x = 45,608,918.36
  5. Step 5: Solve for x
    x = 45,608,918.36/7,144.16
  6. Step 6: Final answer
    x = 6,384.08

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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.