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Finding the Fourth Proportional to 6,689.40, 10,014.90 and 5,998.20

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Solution

The fourth proportional to 6,689.40, 10,014.90 and 5,998.20 is: 8,980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.40 : 10,014.90 = 5,998.20 : x
  2. Step 2: Convert to fraction form
    6,689.40/10,014.90 = 5,998.20/x
  3. Step 3: Cross multiply
    6,689.40x = 10,014.90 × 5,998.20
  4. Step 4: Simplify right side
    6,689.40x = 60,071,373.18
  5. Step 5: Solve for x
    x = 60,071,373.18/6,689.40
  6. Step 6: Final answer
    x = 8,980.08

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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.