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Finding the Fourth Proportional to 11,420.57, 15,755.76 and 7,594.04

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Solution

The fourth proportional to 11,420.57, 15,755.76 and 7,594.04 is: 10,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.57 : 15,755.76 = 7,594.04 : x
  2. Step 2: Convert to fraction form
    11,420.57/15,755.76 = 7,594.04/x
  3. Step 3: Cross multiply
    11,420.57x = 15,755.76 × 7,594.04
  4. Step 4: Simplify right side
    11,420.57x = 119,649,792.89
  5. Step 5: Solve for x
    x = 119,649,792.89/11,420.57
  6. Step 6: Final answer
    x = 10,476.70

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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.