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Finding the Fourth Proportional to 9,187.65, 13,775.67 and 4,258.80

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Solution

The fourth proportional to 9,187.65, 13,775.67 and 4,258.80 is: 6,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.65 : 13,775.67 = 4,258.80 : x
  2. Step 2: Convert to fraction form
    9,187.65/13,775.67 = 4,258.80/x
  3. Step 3: Cross multiply
    9,187.65x = 13,775.67 × 4,258.80
  4. Step 4: Simplify right side
    9,187.65x = 58,667,823.40
  5. Step 5: Solve for x
    x = 58,667,823.40/9,187.65
  6. Step 6: Final answer
    x = 6,385.51

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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.