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Finding the Fourth Proportional to 9,274.98, 12,800.13 and 5,740.23

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Solution

The fourth proportional to 9,274.98, 12,800.13 and 5,740.23 is: 7,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.98 : 12,800.13 = 5,740.23 : x
  2. Step 2: Convert to fraction form
    9,274.98/12,800.13 = 5,740.23/x
  3. Step 3: Cross multiply
    9,274.98x = 12,800.13 × 5,740.23
  4. Step 4: Simplify right side
    9,274.98x = 73,475,690.23
  5. Step 5: Solve for x
    x = 73,475,690.23/9,274.98
  6. Step 6: Final answer
    x = 7,921.92

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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.