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Finding the Fourth Proportional to 8,274.03, 12,473.06 and 7,724.13

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Solution

The fourth proportional to 8,274.03, 12,473.06 and 7,724.13 is: 11,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.03 : 12,473.06 = 7,724.13 : x
  2. Step 2: Convert to fraction form
    8,274.03/12,473.06 = 7,724.13/x
  3. Step 3: Cross multiply
    8,274.03x = 12,473.06 × 7,724.13
  4. Step 4: Simplify right side
    8,274.03x = 96,343,498.32
  5. Step 5: Solve for x
    x = 96,343,498.32/8,274.03
  6. Step 6: Final answer
    x = 11,644.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.