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Finding the Fourth Proportional to 9,765.60, 14,648.40 and 9,074.40

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Solution

The fourth proportional to 9,765.60, 14,648.40 and 9,074.40 is: 13,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.60 : 14,648.40 = 9,074.40 : x
  2. Step 2: Convert to fraction form
    9,765.60/14,648.40 = 9,074.40/x
  3. Step 3: Cross multiply
    9,765.60x = 14,648.40 × 9,074.40
  4. Step 4: Simplify right side
    9,765.60x = 132,925,440.96
  5. Step 5: Solve for x
    x = 132,925,440.96/9,765.60
  6. Step 6: Final answer
    x = 13,611.60

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Double scale
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Similar ratio
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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.