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Finding the Fourth Proportional to 11,250, 15,525 and 6,282

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Solution

The fourth proportional to 11,250, 15,525 and 6,282 is: 8,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250 : 15,525 = 6,282 : x
  2. Step 2: Convert to fraction form
    11,250/15,525 = 6,282/x
  3. Step 3: Cross multiply
    11,250x = 15,525 × 6,282
  4. Step 4: Simplify right side
    11,250x = 97,528,050
  5. Step 5: Solve for x
    x = 97,528,050/11,250
  6. Step 6: Final answer
    x = 8,669.16

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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.