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Finding the Fourth Proportional to 6,274.04, 9,411.70 and 1,657.40

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Solution

The fourth proportional to 6,274.04, 9,411.70 and 1,657.40 is: 2,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.04 : 9,411.70 = 1,657.40 : x
  2. Step 2: Convert to fraction form
    6,274.04/9,411.70 = 1,657.40/x
  3. Step 3: Cross multiply
    6,274.04x = 9,411.70 × 1,657.40
  4. Step 4: Simplify right side
    6,274.04x = 15,598,951.58
  5. Step 5: Solve for x
    x = 15,598,951.58/6,274.04
  6. Step 6: Final answer
    x = 2,486.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.