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Finding the Fourth Proportional to 9,597.80, 14,398.72 and 5,439.80

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Solution

The fourth proportional to 9,597.80, 14,398.72 and 5,439.80 is: 8,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.80 : 14,398.72 = 5,439.80 : x
  2. Step 2: Convert to fraction form
    9,597.80/14,398.72 = 5,439.80/x
  3. Step 3: Cross multiply
    9,597.80x = 14,398.72 × 5,439.80
  4. Step 4: Simplify right side
    9,597.80x = 78,326,157.06
  5. Step 5: Solve for x
    x = 78,326,157.06/9,597.80
  6. Step 6: Final answer
    x = 8,160.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.