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Finding the Fourth Proportional to 6,574.68, 9,070.92 and 4,475.16

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Solution

The fourth proportional to 6,574.68, 9,070.92 and 4,475.16 is: 6,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.68 : 9,070.92 = 4,475.16 : x
  2. Step 2: Convert to fraction form
    6,574.68/9,070.92 = 4,475.16/x
  3. Step 3: Cross multiply
    6,574.68x = 9,070.92 × 4,475.16
  4. Step 4: Simplify right side
    6,574.68x = 40,593,818.35
  5. Step 5: Solve for x
    x = 40,593,818.35/6,574.68
  6. Step 6: Final answer
    x = 6,174.27

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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.