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Finding the Fourth Proportional to 9,014.56, 12,441 and 5,478.08

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Solution

The fourth proportional to 9,014.56, 12,441 and 5,478.08 is: 7,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.56 : 12,441 = 5,478.08 : x
  2. Step 2: Convert to fraction form
    9,014.56/12,441 = 5,478.08/x
  3. Step 3: Cross multiply
    9,014.56x = 12,441 × 5,478.08
  4. Step 4: Simplify right side
    9,014.56x = 68,152,793.28
  5. Step 5: Solve for x
    x = 68,152,793.28/9,014.56
  6. Step 6: Final answer
    x = 7,560.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.