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Finding the Fourth Proportional to 7,570.47, 10,447.14 and 4,213.28

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Solution

The fourth proportional to 7,570.47, 10,447.14 and 4,213.28 is: 5,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.47 : 10,447.14 = 4,213.28 : x
  2. Step 2: Convert to fraction form
    7,570.47/10,447.14 = 4,213.28/x
  3. Step 3: Cross multiply
    7,570.47x = 10,447.14 × 4,213.28
  4. Step 4: Simplify right side
    7,570.47x = 44,016,734.21
  5. Step 5: Solve for x
    x = 44,016,734.21/7,570.47
  6. Step 6: Final answer
    x = 5,814.27

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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.