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Finding the Fourth Proportional to 8,595.63, 12,894.12 and 3,665.31

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Solution

The fourth proportional to 8,595.63, 12,894.12 and 3,665.31 is: 5,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,595.63 : 12,894.12 = 3,665.31 : x
  2. Step 2: Convert to fraction form
    8,595.63/12,894.12 = 3,665.31/x
  3. Step 3: Cross multiply
    8,595.63x = 12,894.12 × 3,665.31
  4. Step 4: Simplify right side
    8,595.63x = 47,260,946.98
  5. Step 5: Solve for x
    x = 47,260,946.98/8,595.63
  6. Step 6: Final answer
    x = 5,498.25

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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.