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Finding the Fourth Proportional to 9,696.24, 14,609.16 and 8,772.84

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Solution

The fourth proportional to 9,696.24, 14,609.16 and 8,772.84 is: 13,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.24 : 14,609.16 = 8,772.84 : x
  2. Step 2: Convert to fraction form
    9,696.24/14,609.16 = 8,772.84/x
  3. Step 3: Cross multiply
    9,696.24x = 14,609.16 × 8,772.84
  4. Step 4: Simplify right side
    9,696.24x = 128,163,823.21
  5. Step 5: Solve for x
    x = 128,163,823.21/9,696.24
  6. Step 6: Final answer
    x = 13,217.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.