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Finding the Fourth Proportional to 9,853.74, 13,597.68 and 5,377.38

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Solution

The fourth proportional to 9,853.74, 13,597.68 and 5,377.38 is: 7,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.74 : 13,597.68 = 5,377.38 : x
  2. Step 2: Convert to fraction form
    9,853.74/13,597.68 = 5,377.38/x
  3. Step 3: Cross multiply
    9,853.74x = 13,597.68 × 5,377.38
  4. Step 4: Simplify right side
    9,853.74x = 73,119,892.48
  5. Step 5: Solve for x
    x = 73,119,892.48/9,853.74
  6. Step 6: Final answer
    x = 7,420.52

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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.