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Finding the Fourth Proportional to 11,449.95, 15,802.40 and 6,734.67

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Solution

The fourth proportional to 11,449.95, 15,802.40 and 6,734.67 is: 9,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.95 : 15,802.40 = 6,734.67 : x
  2. Step 2: Convert to fraction form
    11,449.95/15,802.40 = 6,734.67/x
  3. Step 3: Cross multiply
    11,449.95x = 15,802.40 × 6,734.67
  4. Step 4: Simplify right side
    11,449.95x = 106,423,915.53
  5. Step 5: Solve for x
    x = 106,423,915.53/11,449.95
  6. Step 6: Final answer
    x = 9,294.71

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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.