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Finding the Fourth Proportional to 6,774.18, 10,149.63 and 6,089.40

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Solution

The fourth proportional to 6,774.18, 10,149.63 and 6,089.40 is: 9,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.18 : 10,149.63 = 6,089.40 : x
  2. Step 2: Convert to fraction form
    6,774.18/10,149.63 = 6,089.40/x
  3. Step 3: Cross multiply
    6,774.18x = 10,149.63 × 6,089.40
  4. Step 4: Simplify right side
    6,774.18x = 61,805,156.92
  5. Step 5: Solve for x
    x = 61,805,156.92/6,774.18
  6. Step 6: Final answer
    x = 9,123.64

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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.