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Finding the Fourth Proportional to 6,506.61, 9,748.17 and 5,473.05

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Solution

The fourth proportional to 6,506.61, 9,748.17 and 5,473.05 is: 8,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.61 : 9,748.17 = 5,473.05 : x
  2. Step 2: Convert to fraction form
    6,506.61/9,748.17 = 5,473.05/x
  3. Step 3: Cross multiply
    6,506.61x = 9,748.17 × 5,473.05
  4. Step 4: Simplify right side
    6,506.61x = 53,352,221.82
  5. Step 5: Solve for x
    x = 53,352,221.82/6,506.61
  6. Step 6: Final answer
    x = 8,199.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.