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Finding the Fourth Proportional to 6,588.95, 9,864.05 and 4,116.29

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Solution

The fourth proportional to 6,588.95, 9,864.05 and 4,116.29 is: 6,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.95 : 9,864.05 = 4,116.29 : x
  2. Step 2: Convert to fraction form
    6,588.95/9,864.05 = 4,116.29/x
  3. Step 3: Cross multiply
    6,588.95x = 9,864.05 × 4,116.29
  4. Step 4: Simplify right side
    6,588.95x = 40,603,220.47
  5. Step 5: Solve for x
    x = 40,603,220.47/6,588.95
  6. Step 6: Final answer
    x = 6,162.32

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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.