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Finding the Fourth Proportional to 6,291.32, 9,443.54 and 6,150.13

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Solution

The fourth proportional to 6,291.32, 9,443.54 and 6,150.13 is: 9,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.32 : 9,443.54 = 6,150.13 : x
  2. Step 2: Convert to fraction form
    6,291.32/9,443.54 = 6,150.13/x
  3. Step 3: Cross multiply
    6,291.32x = 9,443.54 × 6,150.13
  4. Step 4: Simplify right side
    6,291.32x = 58,078,955.83
  5. Step 5: Solve for x
    x = 58,078,955.83/6,291.32
  6. Step 6: Final answer
    x = 9,231.60

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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.