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Finding the Fourth Proportional to 6,441.50, 9,662.25 and 1,577.50

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Solution

The fourth proportional to 6,441.50, 9,662.25 and 1,577.50 is: 2,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.50 : 9,662.25 = 1,577.50 : x
  2. Step 2: Convert to fraction form
    6,441.50/9,662.25 = 1,577.50/x
  3. Step 3: Cross multiply
    6,441.50x = 9,662.25 × 1,577.50
  4. Step 4: Simplify right side
    6,441.50x = 15,242,199.38
  5. Step 5: Solve for x
    x = 15,242,199.38/6,441.50
  6. Step 6: Final answer
    x = 2,366.25

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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.