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Finding the Fourth Proportional to 6,521.48, 9,771.18 and 4,663.16

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Solution

The fourth proportional to 6,521.48, 9,771.18 and 4,663.16 is: 6,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.48 : 9,771.18 = 4,663.16 : x
  2. Step 2: Convert to fraction form
    6,521.48/9,771.18 = 4,663.16/x
  3. Step 3: Cross multiply
    6,521.48x = 9,771.18 × 4,663.16
  4. Step 4: Simplify right side
    6,521.48x = 45,564,575.73
  5. Step 5: Solve for x
    x = 45,564,575.73/6,521.48
  6. Step 6: Final answer
    x = 6,986.85

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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.