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Finding the Fourth Proportional to 10,230.51, 14,118.51 and 5,754.24

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Solution

The fourth proportional to 10,230.51, 14,118.51 and 5,754.24 is: 7,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.51 : 14,118.51 = 5,754.24 : x
  2. Step 2: Convert to fraction form
    10,230.51/14,118.51 = 5,754.24/x
  3. Step 3: Cross multiply
    10,230.51x = 14,118.51 × 5,754.24
  4. Step 4: Simplify right side
    10,230.51x = 81,241,294.98
  5. Step 5: Solve for x
    x = 81,241,294.98/10,230.51
  6. Step 6: Final answer
    x = 7,941.08

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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.