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Finding the Fourth Proportional to 7,309.74, 10,959.48 and 4,963.98

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Solution

The fourth proportional to 7,309.74, 10,959.48 and 4,963.98 is: 7,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.74 : 10,959.48 = 4,963.98 : x
  2. Step 2: Convert to fraction form
    7,309.74/10,959.48 = 4,963.98/x
  3. Step 3: Cross multiply
    7,309.74x = 10,959.48 × 4,963.98
  4. Step 4: Simplify right side
    7,309.74x = 54,402,639.53
  5. Step 5: Solve for x
    x = 54,402,639.53/7,309.74
  6. Step 6: Final answer
    x = 7,442.49

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1.5x scale

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.