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Finding the Fourth Proportional to 6,258.50, 9,384.74 and 2,360.42

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Solution

The fourth proportional to 6,258.50, 9,384.74 and 2,360.42 is: 3,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.50 : 9,384.74 = 2,360.42 : x
  2. Step 2: Convert to fraction form
    6,258.50/9,384.74 = 2,360.42/x
  3. Step 3: Cross multiply
    6,258.50x = 9,384.74 × 2,360.42
  4. Step 4: Simplify right side
    6,258.50x = 22,151,886.97
  5. Step 5: Solve for x
    x = 22,151,886.97/6,258.50
  6. Step 6: Final answer
    x = 3,539.49

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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.