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Finding the Fourth Proportional to 11,299.95, 15,594.06 and 6,264.29

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Solution

The fourth proportional to 11,299.95, 15,594.06 and 6,264.29 is: 8,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.95 : 15,594.06 = 6,264.29 : x
  2. Step 2: Convert to fraction form
    11,299.95/15,594.06 = 6,264.29/x
  3. Step 3: Cross multiply
    11,299.95x = 15,594.06 × 6,264.29
  4. Step 4: Simplify right side
    11,299.95x = 97,685,636.15
  5. Step 5: Solve for x
    x = 97,685,636.15/11,299.95
  6. Step 6: Final answer
    x = 8,644.78

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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.