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Finding the Fourth Proportional to 11,250.84, 15,521 and 6,534.22

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Solution

The fourth proportional to 11,250.84, 15,521 and 6,534.22 is: 9,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250.84 : 15,521 = 6,534.22 : x
  2. Step 2: Convert to fraction form
    11,250.84/15,521 = 6,534.22/x
  3. Step 3: Cross multiply
    11,250.84x = 15,521 × 6,534.22
  4. Step 4: Simplify right side
    11,250.84x = 101,417,628.62
  5. Step 5: Solve for x
    x = 101,417,628.62/11,250.84
  6. Step 6: Final answer
    x = 9,014.23

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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.