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Finding the Fourth Proportional to 12,884.62, 19,312.08 and 5,854.10

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Solution

The fourth proportional to 12,884.62, 19,312.08 and 5,854.10 is: 8,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.62 : 19,312.08 = 5,854.10 : x
  2. Step 2: Convert to fraction form
    12,884.62/19,312.08 = 5,854.10/x
  3. Step 3: Cross multiply
    12,884.62x = 19,312.08 × 5,854.10
  4. Step 4: Simplify right side
    12,884.62x = 113,054,847.53
  5. Step 5: Solve for x
    x = 113,054,847.53/12,884.62
  6. Step 6: Final answer
    x = 8,774.40

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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.