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Finding the Fourth Proportional to 6,730.49, 10,088.90 and 4,260.55

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Solution

The fourth proportional to 6,730.49, 10,088.90 and 4,260.55 is: 6,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.49 : 10,088.90 = 4,260.55 : x
  2. Step 2: Convert to fraction form
    6,730.49/10,088.90 = 4,260.55/x
  3. Step 3: Cross multiply
    6,730.49x = 10,088.90 × 4,260.55
  4. Step 4: Simplify right side
    6,730.49x = 42,984,275.23
  5. Step 5: Solve for x
    x = 42,984,275.23/6,730.49
  6. Step 6: Final answer
    x = 6,386.50

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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.