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Finding the Fourth Proportional to 6,158.49, 9,235.02 and 1,774.92

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Solution

The fourth proportional to 6,158.49, 9,235.02 and 1,774.92 is: 2,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.49 : 9,235.02 = 1,774.92 : x
  2. Step 2: Convert to fraction form
    6,158.49/9,235.02 = 1,774.92/x
  3. Step 3: Cross multiply
    6,158.49x = 9,235.02 × 1,774.92
  4. Step 4: Simplify right side
    6,158.49x = 16,391,421.70
  5. Step 5: Solve for x
    x = 16,391,421.70/6,158.49
  6. Step 6: Final answer
    x = 2,661.60

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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.