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Finding the Fourth Proportional to 8,596.48, 11,869.20 and 6,710.16

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Solution

The fourth proportional to 8,596.48, 11,869.20 and 6,710.16 is: 9,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.48 : 11,869.20 = 6,710.16 : x
  2. Step 2: Convert to fraction form
    8,596.48/11,869.20 = 6,710.16/x
  3. Step 3: Cross multiply
    8,596.48x = 11,869.20 × 6,710.16
  4. Step 4: Simplify right side
    8,596.48x = 79,644,231.07
  5. Step 5: Solve for x
    x = 79,644,231.07/8,596.48
  6. Step 6: Final answer
    x = 9,264.75

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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.