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Finding the Fourth Proportional to 11,478.96, 15,844.95 and 6,762.96

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Solution

The fourth proportional to 11,478.96, 15,844.95 and 6,762.96 is: 9,335.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.96 : 15,844.95 = 6,762.96 : x
  2. Step 2: Convert to fraction form
    11,478.96/15,844.95 = 6,762.96/x
  3. Step 3: Cross multiply
    11,478.96x = 15,844.95 × 6,762.96
  4. Step 4: Simplify right side
    11,478.96x = 107,158,763.05
  5. Step 5: Solve for x
    x = 107,158,763.05/11,478.96
  6. Step 6: Final answer
    x = 9,335.23

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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.