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Finding the Fourth Proportional to 12,847.66, 19,271.19 and 5,922.16

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Solution

The fourth proportional to 12,847.66, 19,271.19 and 5,922.16 is: 8,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.66 : 19,271.19 = 5,922.16 : x
  2. Step 2: Convert to fraction form
    12,847.66/19,271.19 = 5,922.16/x
  3. Step 3: Cross multiply
    12,847.66x = 19,271.19 × 5,922.16
  4. Step 4: Simplify right side
    12,847.66x = 114,127,070.57
  5. Step 5: Solve for x
    x = 114,127,070.57/12,847.66
  6. Step 6: Final answer
    x = 8,883.10

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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.