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Finding the Fourth Proportional to 9,717.37, 14,575.98 and 8,397.10

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Solution

The fourth proportional to 9,717.37, 14,575.98 and 8,397.10 is: 12,595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.37 : 14,575.98 = 8,397.10 : x
  2. Step 2: Convert to fraction form
    9,717.37/14,575.98 = 8,397.10/x
  3. Step 3: Cross multiply
    9,717.37x = 14,575.98 × 8,397.10
  4. Step 4: Simplify right side
    9,717.37x = 122,396,011.37
  5. Step 5: Solve for x
    x = 122,396,011.37/9,717.37
  6. Step 6: Final answer
    x = 12,595.59

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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.