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Finding the Fourth Proportional to 7,074.81, 9,760.51 and 5,394.48

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Solution

The fourth proportional to 7,074.81, 9,760.51 and 5,394.48 is: 7,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.81 : 9,760.51 = 5,394.48 : x
  2. Step 2: Convert to fraction form
    7,074.81/9,760.51 = 5,394.48/x
  3. Step 3: Cross multiply
    7,074.81x = 9,760.51 × 5,394.48
  4. Step 4: Simplify right side
    7,074.81x = 52,652,875.98
  5. Step 5: Solve for x
    x = 52,652,875.98/7,074.81
  6. Step 6: Final answer
    x = 7,442.30

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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.