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Finding the Fourth Proportional to 6,574.34, 9,069.90 and 4,337.30

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Solution

The fourth proportional to 6,574.34, 9,069.90 and 4,337.30 is: 5,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.34 : 9,069.90 = 4,337.30 : x
  2. Step 2: Convert to fraction form
    6,574.34/9,069.90 = 4,337.30/x
  3. Step 3: Cross multiply
    6,574.34x = 9,069.90 × 4,337.30
  4. Step 4: Simplify right side
    6,574.34x = 39,338,877.27
  5. Step 5: Solve for x
    x = 39,338,877.27/6,574.34
  6. Step 6: Final answer
    x = 5,983.70

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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.