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Finding the Fourth Proportional to 11,483.46, 15,851.16 and 6,767.46

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Solution

The fourth proportional to 11,483.46, 15,851.16 and 6,767.46 is: 9,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.46 : 15,851.16 = 6,767.46 : x
  2. Step 2: Convert to fraction form
    11,483.46/15,851.16 = 6,767.46/x
  3. Step 3: Cross multiply
    11,483.46x = 15,851.16 × 6,767.46
  4. Step 4: Simplify right side
    11,483.46x = 107,272,091.25
  5. Step 5: Solve for x
    x = 107,272,091.25/11,483.46
  6. Step 6: Final answer
    x = 9,341.44

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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.