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Finding the Fourth Proportional to 12,585.31, 17,368.11 and 6,919.77

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Solution

The fourth proportional to 12,585.31, 17,368.11 and 6,919.77 is: 9,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.31 : 17,368.11 = 6,919.77 : x
  2. Step 2: Convert to fraction form
    12,585.31/17,368.11 = 6,919.77/x
  3. Step 3: Cross multiply
    12,585.31x = 17,368.11 × 6,919.77
  4. Step 4: Simplify right side
    12,585.31x = 120,183,244.10
  5. Step 5: Solve for x
    x = 120,183,244.10/12,585.31
  6. Step 6: Final answer
    x = 9,549.49

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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.