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Finding the Fourth Proportional to 9,997.60, 14,974.80 and 6,498.40

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Solution

The fourth proportional to 9,997.60, 14,974.80 and 6,498.40 is: 9,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.60 : 14,974.80 = 6,498.40 : x
  2. Step 2: Convert to fraction form
    9,997.60/14,974.80 = 6,498.40/x
  3. Step 3: Cross multiply
    9,997.60x = 14,974.80 × 6,498.40
  4. Step 4: Simplify right side
    9,997.60x = 97,312,240.32
  5. Step 5: Solve for x
    x = 97,312,240.32/9,997.60
  6. Step 6: Final answer
    x = 9,733.56

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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.