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Finding the Fourth Proportional to 9,799.51, 13,514.11 and 7,557.83

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Solution

The fourth proportional to 9,799.51, 13,514.11 and 7,557.83 is: 10,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.51 : 13,514.11 = 7,557.83 : x
  2. Step 2: Convert to fraction form
    9,799.51/13,514.11 = 7,557.83/x
  3. Step 3: Cross multiply
    9,799.51x = 13,514.11 × 7,557.83
  4. Step 4: Simplify right side
    9,799.51x = 102,137,308.19
  5. Step 5: Solve for x
    x = 102,137,308.19/9,799.51
  6. Step 6: Final answer
    x = 10,422.70

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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.