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Finding the Fourth Proportional to 7,110, 9,807.12 and 4,591.44

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Solution

The fourth proportional to 7,110, 9,807.12 and 4,591.44 is: 6,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110 : 9,807.12 = 4,591.44 : x
  2. Step 2: Convert to fraction form
    7,110/9,807.12 = 4,591.44/x
  3. Step 3: Cross multiply
    7,110x = 9,807.12 × 4,591.44
  4. Step 4: Simplify right side
    7,110x = 45,028,803.05
  5. Step 5: Solve for x
    x = 45,028,803.05/7,110
  6. Step 6: Final answer
    x = 6,333.16

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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.