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Finding the Fourth Proportional to 10,751.88, 14,837.22 and 6,275.76

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Solution

The fourth proportional to 10,751.88, 14,837.22 and 6,275.76 is: 8,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.88 : 14,837.22 = 6,275.76 : x
  2. Step 2: Convert to fraction form
    10,751.88/14,837.22 = 6,275.76/x
  3. Step 3: Cross multiply
    10,751.88x = 14,837.22 × 6,275.76
  4. Step 4: Simplify right side
    10,751.88x = 93,114,831.79
  5. Step 5: Solve for x
    x = 93,114,831.79/10,751.88
  6. Step 6: Final answer
    x = 8,660.33

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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.