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Finding the Fourth Proportional to 9,762.44, 13,472.34 and 5,514.36

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Solution

The fourth proportional to 9,762.44, 13,472.34 and 5,514.36 is: 7,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.44 : 13,472.34 = 5,514.36 : x
  2. Step 2: Convert to fraction form
    9,762.44/13,472.34 = 5,514.36/x
  3. Step 3: Cross multiply
    9,762.44x = 13,472.34 × 5,514.36
  4. Step 4: Simplify right side
    9,762.44x = 74,291,332.80
  5. Step 5: Solve for x
    x = 74,291,332.80/9,762.44
  6. Step 6: Final answer
    x = 7,609.91

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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.