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Finding the Fourth Proportional to 8,588.10, 11,846.16 and 6,696.64

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Solution

The fourth proportional to 8,588.10, 11,846.16 and 6,696.64 is: 9,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.10 : 11,846.16 = 6,696.64 : x
  2. Step 2: Convert to fraction form
    8,588.10/11,846.16 = 6,696.64/x
  3. Step 3: Cross multiply
    8,588.10x = 11,846.16 × 6,696.64
  4. Step 4: Simplify right side
    8,588.10x = 79,329,468.90
  5. Step 5: Solve for x
    x = 79,329,468.90/8,588.10
  6. Step 6: Final answer
    x = 9,237.14

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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.