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Finding the Fourth Proportional to 9,959.48, 13,743.51 and 5,482.49

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Solution

The fourth proportional to 9,959.48, 13,743.51 and 5,482.49 is: 7,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.48 : 13,743.51 = 5,482.49 : x
  2. Step 2: Convert to fraction form
    9,959.48/13,743.51 = 5,482.49/x
  3. Step 3: Cross multiply
    9,959.48x = 13,743.51 × 5,482.49
  4. Step 4: Simplify right side
    9,959.48x = 75,348,656.14
  5. Step 5: Solve for x
    x = 75,348,656.14/9,959.48
  6. Step 6: Final answer
    x = 7,565.52

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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.