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Finding the Fourth Proportional to 9,586, 13,216.80 and 7,032.88

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Solution

The fourth proportional to 9,586, 13,216.80 and 7,032.88 is: 9,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586 : 13,216.80 = 7,032.88 : x
  2. Step 2: Convert to fraction form
    9,586/13,216.80 = 7,032.88/x
  3. Step 3: Cross multiply
    9,586x = 13,216.80 × 7,032.88
  4. Step 4: Simplify right side
    9,586x = 92,952,168.38
  5. Step 5: Solve for x
    x = 92,952,168.38/9,586
  6. Step 6: Final answer
    x = 9,696.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.