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Finding the Fourth Proportional to 10,398.24, 15,514.98 and 9,768

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Solution

The fourth proportional to 10,398.24, 15,514.98 and 9,768 is: 14,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.24 : 15,514.98 = 9,768 : x
  2. Step 2: Convert to fraction form
    10,398.24/15,514.98 = 9,768/x
  3. Step 3: Cross multiply
    10,398.24x = 15,514.98 × 9,768
  4. Step 4: Simplify right side
    10,398.24x = 151,550,324.64
  5. Step 5: Solve for x
    x = 151,550,324.64/10,398.24
  6. Step 6: Final answer
    x = 14,574.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.