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Finding the Fourth Proportional to 8,514.95, 11,750.64 and 4,738.46

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Solution

The fourth proportional to 8,514.95, 11,750.64 and 4,738.46 is: 6,539.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.95 : 11,750.64 = 4,738.46 : x
  2. Step 2: Convert to fraction form
    8,514.95/11,750.64 = 4,738.46/x
  3. Step 3: Cross multiply
    8,514.95x = 11,750.64 × 4,738.46
  4. Step 4: Simplify right side
    8,514.95x = 55,679,937.61
  5. Step 5: Solve for x
    x = 55,679,937.61/8,514.95
  6. Step 6: Final answer
    x = 6,539.08

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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.