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Finding the Fourth Proportional to 10,793.69, 14,903.74 and 8,442.53

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Solution

The fourth proportional to 10,793.69, 14,903.74 and 8,442.53 is: 11,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.69 : 14,903.74 = 8,442.53 : x
  2. Step 2: Convert to fraction form
    10,793.69/14,903.74 = 8,442.53/x
  3. Step 3: Cross multiply
    10,793.69x = 14,903.74 × 8,442.53
  4. Step 4: Simplify right side
    10,793.69x = 125,825,272.06
  5. Step 5: Solve for x
    x = 125,825,272.06/10,793.69
  6. Step 6: Final answer
    x = 11,657.30

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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.