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Finding the Fourth Proportional to 12,857.60, 19,281.60 and 8,950.40

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Solution

The fourth proportional to 12,857.60, 19,281.60 and 8,950.40 is: 13,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.60 : 19,281.60 = 8,950.40 : x
  2. Step 2: Convert to fraction form
    12,857.60/19,281.60 = 8,950.40/x
  3. Step 3: Cross multiply
    12,857.60x = 19,281.60 × 8,950.40
  4. Step 4: Simplify right side
    12,857.60x = 172,578,032.64
  5. Step 5: Solve for x
    x = 172,578,032.64/12,857.60
  6. Step 6: Final answer
    x = 13,422.26

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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.