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Finding the Fourth Proportional to 8,165.14, 12,253.16 and 2,971.01

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Solution

The fourth proportional to 8,165.14, 12,253.16 and 2,971.01 is: 4,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.14 : 12,253.16 = 2,971.01 : x
  2. Step 2: Convert to fraction form
    8,165.14/12,253.16 = 2,971.01/x
  3. Step 3: Cross multiply
    8,165.14x = 12,253.16 × 2,971.01
  4. Step 4: Simplify right side
    8,165.14x = 36,404,298.95
  5. Step 5: Solve for x
    x = 36,404,298.95/8,165.14
  6. Step 6: Final answer
    x = 4,458.50

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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.