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Finding the Fourth Proportional to 9,959.78, 13,743.74 and 5,710.80

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Solution

The fourth proportional to 9,959.78, 13,743.74 and 5,710.80 is: 7,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.78 : 13,743.74 = 5,710.80 : x
  2. Step 2: Convert to fraction form
    9,959.78/13,743.74 = 5,710.80/x
  3. Step 3: Cross multiply
    9,959.78x = 13,743.74 × 5,710.80
  4. Step 4: Simplify right side
    9,959.78x = 78,487,750.39
  5. Step 5: Solve for x
    x = 78,487,750.39/9,959.78
  6. Step 6: Final answer
    x = 7,880.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.