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Finding the Fourth Proportional to 6,574.68, 9,077.94 and 4,218.12

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Solution

The fourth proportional to 6,574.68, 9,077.94 and 4,218.12 is: 5,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.68 : 9,077.94 = 4,218.12 : x
  2. Step 2: Convert to fraction form
    6,574.68/9,077.94 = 4,218.12/x
  3. Step 3: Cross multiply
    6,574.68x = 9,077.94 × 4,218.12
  4. Step 4: Simplify right side
    6,574.68x = 38,291,840.27
  5. Step 5: Solve for x
    x = 38,291,840.27/6,574.68
  6. Step 6: Final answer
    x = 5,824.14

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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.