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Finding the Fourth Proportional to 7,165.02, 9,888.24 and 3,978.48

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Solution

The fourth proportional to 7,165.02, 9,888.24 and 3,978.48 is: 5,490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.02 : 9,888.24 = 3,978.48 : x
  2. Step 2: Convert to fraction form
    7,165.02/9,888.24 = 3,978.48/x
  3. Step 3: Cross multiply
    7,165.02x = 9,888.24 × 3,978.48
  4. Step 4: Simplify right side
    7,165.02x = 39,340,165.08
  5. Step 5: Solve for x
    x = 39,340,165.08/7,165.02
  6. Step 6: Final answer
    x = 5,490.59

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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.