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Finding the Fourth Proportional to 9,693.10, 13,377.95 and 5,918.47

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Solution

The fourth proportional to 9,693.10, 13,377.95 and 5,918.47 is: 8,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.10 : 13,377.95 = 5,918.47 : x
  2. Step 2: Convert to fraction form
    9,693.10/13,377.95 = 5,918.47/x
  3. Step 3: Cross multiply
    9,693.10x = 13,377.95 × 5,918.47
  4. Step 4: Simplify right side
    9,693.10x = 79,176,966.14
  5. Step 5: Solve for x
    x = 79,176,966.14/9,693.10
  6. Step 6: Final answer
    x = 8,168.38

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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.