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Finding the Fourth Proportional to 6,366.90, 9,503.82 and 5,897.91

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Solution

The fourth proportional to 6,366.90, 9,503.82 and 5,897.91 is: 8,803.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.90 : 9,503.82 = 5,897.91 : x
  2. Step 2: Convert to fraction form
    6,366.90/9,503.82 = 5,897.91/x
  3. Step 3: Cross multiply
    6,366.90x = 9,503.82 × 5,897.91
  4. Step 4: Simplify right side
    6,366.90x = 56,052,675.02
  5. Step 5: Solve for x
    x = 56,052,675.02/6,366.90
  6. Step 6: Final answer
    x = 8,803.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.