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Finding the Fourth Proportional to 9,242.56, 13,870.86 and 6,326.56

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Solution

The fourth proportional to 9,242.56, 13,870.86 and 6,326.56 is: 9,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.56 : 13,870.86 = 6,326.56 : x
  2. Step 2: Convert to fraction form
    9,242.56/13,870.86 = 6,326.56/x
  3. Step 3: Cross multiply
    9,242.56x = 13,870.86 × 6,326.56
  4. Step 4: Simplify right side
    9,242.56x = 87,754,828.04
  5. Step 5: Solve for x
    x = 87,754,828.04/9,242.56
  6. Step 6: Final answer
    x = 9,494.65

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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.