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Finding the Fourth Proportional to 9,075, 12,484.62 and 8,686.20

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Solution

The fourth proportional to 9,075, 12,484.62 and 8,686.20 is: 11,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075 : 12,484.62 = 8,686.20 : x
  2. Step 2: Convert to fraction form
    9,075/12,484.62 = 8,686.20/x
  3. Step 3: Cross multiply
    9,075x = 12,484.62 × 8,686.20
  4. Step 4: Simplify right side
    9,075x = 108,443,906.24
  5. Step 5: Solve for x
    x = 108,443,906.24/9,075
  6. Step 6: Final answer
    x = 11,949.74

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Double scale
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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.