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Finding the Fourth Proportional to 10,393.66, 14,343.16 and 5,677.95

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Solution

The fourth proportional to 10,393.66, 14,343.16 and 5,677.95 is: 7,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.66 : 14,343.16 = 5,677.95 : x
  2. Step 2: Convert to fraction form
    10,393.66/14,343.16 = 5,677.95/x
  3. Step 3: Cross multiply
    10,393.66x = 14,343.16 × 5,677.95
  4. Step 4: Simplify right side
    10,393.66x = 81,439,745.32
  5. Step 5: Solve for x
    x = 81,439,745.32/10,393.66
  6. Step 6: Final answer
    x = 7,835.52

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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.