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Finding the Fourth Proportional to 9,693.95, 13,377.23 and 5,445.40

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Solution

The fourth proportional to 9,693.95, 13,377.23 and 5,445.40 is: 7,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.95 : 13,377.23 = 5,445.40 : x
  2. Step 2: Convert to fraction form
    9,693.95/13,377.23 = 5,445.40/x
  3. Step 3: Cross multiply
    9,693.95x = 13,377.23 × 5,445.40
  4. Step 4: Simplify right side
    9,693.95x = 72,844,375.38
  5. Step 5: Solve for x
    x = 72,844,375.38/9,693.95
  6. Step 6: Final answer
    x = 7,514.41

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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.