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Finding the Fourth Proportional to 18,390.64, 27,577.32 and 6,070

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Solution

The fourth proportional to 18,390.64, 27,577.32 and 6,070 is: 9,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,390.64 : 27,577.32 = 6,070 : x
  2. Step 2: Convert to fraction form
    18,390.64/27,577.32 = 6,070/x
  3. Step 3: Cross multiply
    18,390.64x = 27,577.32 × 6,070
  4. Step 4: Simplify right side
    18,390.64x = 167,394,332.40
  5. Step 5: Solve for x
    x = 167,394,332.40/18,390.64
  6. Step 6: Final answer
    x = 9,102.15

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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.