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Finding the Fourth Proportional to 10,648.83, 14,697.14 and 5,934.63

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Solution

The fourth proportional to 10,648.83, 14,697.14 and 5,934.63 is: 8,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.83 : 14,697.14 = 5,934.63 : x
  2. Step 2: Convert to fraction form
    10,648.83/14,697.14 = 5,934.63/x
  3. Step 3: Cross multiply
    10,648.83x = 14,697.14 × 5,934.63
  4. Step 4: Simplify right side
    10,648.83x = 87,222,058.29
  5. Step 5: Solve for x
    x = 87,222,058.29/10,648.83
  6. Step 6: Final answer
    x = 8,190.76

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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.