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Finding the Fourth Proportional to 9,897.87, 14,845.17 and 2,970.75

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Solution

The fourth proportional to 9,897.87, 14,845.17 and 2,970.75 is: 4,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.87 : 14,845.17 = 2,970.75 : x
  2. Step 2: Convert to fraction form
    9,897.87/14,845.17 = 2,970.75/x
  3. Step 3: Cross multiply
    9,897.87x = 14,845.17 × 2,970.75
  4. Step 4: Simplify right side
    9,897.87x = 44,101,288.78
  5. Step 5: Solve for x
    x = 44,101,288.78/9,897.87
  6. Step 6: Final answer
    x = 4,455.63

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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.