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Finding the Fourth Proportional to 7,041.57, 9,713.14 and 4,651.57

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Solution

The fourth proportional to 7,041.57, 9,713.14 and 4,651.57 is: 6,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.57 : 9,713.14 = 4,651.57 : x
  2. Step 2: Convert to fraction form
    7,041.57/9,713.14 = 4,651.57/x
  3. Step 3: Cross multiply
    7,041.57x = 9,713.14 × 4,651.57
  4. Step 4: Simplify right side
    7,041.57x = 45,181,350.63
  5. Step 5: Solve for x
    x = 45,181,350.63/7,041.57
  6. Step 6: Final answer
    x = 6,416.37

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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.