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Finding the Fourth Proportional to 8,709.41, 13,064.12 and 3,514.07

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Solution

The fourth proportional to 8,709.41, 13,064.12 and 3,514.07 is: 5,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.41 : 13,064.12 = 3,514.07 : x
  2. Step 2: Convert to fraction form
    8,709.41/13,064.12 = 3,514.07/x
  3. Step 3: Cross multiply
    8,709.41x = 13,064.12 × 3,514.07
  4. Step 4: Simplify right side
    8,709.41x = 45,908,149.28
  5. Step 5: Solve for x
    x = 45,908,149.28/8,709.41
  6. Step 6: Final answer
    x = 5,271.10

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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.