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Finding the Fourth Proportional to 9,577.64, 13,214.07 and 5,799.60

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Solution

The fourth proportional to 9,577.64, 13,214.07 and 5,799.60 is: 8,001.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.64 : 13,214.07 = 5,799.60 : x
  2. Step 2: Convert to fraction form
    9,577.64/13,214.07 = 5,799.60/x
  3. Step 3: Cross multiply
    9,577.64x = 13,214.07 × 5,799.60
  4. Step 4: Simplify right side
    9,577.64x = 76,636,320.37
  5. Step 5: Solve for x
    x = 76,636,320.37/9,577.64
  6. Step 6: Final answer
    x = 8,001.58

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Similar ratio
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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.