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Finding the Fourth Proportional to 10,365.24, 14,304 and 5,649.51

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Solution

The fourth proportional to 10,365.24, 14,304 and 5,649.51 is: 7,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.24 : 14,304 = 5,649.51 : x
  2. Step 2: Convert to fraction form
    10,365.24/14,304 = 5,649.51/x
  3. Step 3: Cross multiply
    10,365.24x = 14,304 × 5,649.51
  4. Step 4: Simplify right side
    10,365.24x = 80,810,591.04
  5. Step 5: Solve for x
    x = 80,810,591.04/10,365.24
  6. Step 6: Final answer
    x = 7,796.31

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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.