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Finding the Fourth Proportional to 6,577.32, 9,866.04 and 1,897.74

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Solution

The fourth proportional to 6,577.32, 9,866.04 and 1,897.74 is: 2,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.32 : 9,866.04 = 1,897.74 : x
  2. Step 2: Convert to fraction form
    6,577.32/9,866.04 = 1,897.74/x
  3. Step 3: Cross multiply
    6,577.32x = 9,866.04 × 1,897.74
  4. Step 4: Simplify right side
    6,577.32x = 18,723,178.75
  5. Step 5: Solve for x
    x = 18,723,178.75/6,577.32
  6. Step 6: Final answer
    x = 2,846.63

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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.