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Finding the Fourth Proportional to 9,797.36, 14,669.80 and 8,242.16

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Solution

The fourth proportional to 9,797.36, 14,669.80 and 8,242.16 is: 12,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.36 : 14,669.80 = 8,242.16 : x
  2. Step 2: Convert to fraction form
    9,797.36/14,669.80 = 8,242.16/x
  3. Step 3: Cross multiply
    9,797.36x = 14,669.80 × 8,242.16
  4. Step 4: Simplify right side
    9,797.36x = 120,910,838.77
  5. Step 5: Solve for x
    x = 120,910,838.77/9,797.36
  6. Step 6: Final answer
    x = 12,341.17

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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.