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Finding the Fourth Proportional to 10,326.16, 14,250.16 and 5,610.48

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Solution

The fourth proportional to 10,326.16, 14,250.16 and 5,610.48 is: 7,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.16 : 14,250.16 = 5,610.48 : x
  2. Step 2: Convert to fraction form
    10,326.16/14,250.16 = 5,610.48/x
  3. Step 3: Cross multiply
    10,326.16x = 14,250.16 × 5,610.48
  4. Step 4: Simplify right side
    10,326.16x = 79,950,237.68
  5. Step 5: Solve for x
    x = 79,950,237.68/10,326.16
  6. Step 6: Final answer
    x = 7,742.49

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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.