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Finding the Fourth Proportional to 8,814.78, 13,222.14 and 8,705.40

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Solution

The fourth proportional to 8,814.78, 13,222.14 and 8,705.40 is: 13,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.78 : 13,222.14 = 8,705.40 : x
  2. Step 2: Convert to fraction form
    8,814.78/13,222.14 = 8,705.40/x
  3. Step 3: Cross multiply
    8,814.78x = 13,222.14 × 8,705.40
  4. Step 4: Simplify right side
    8,814.78x = 115,104,017.56
  5. Step 5: Solve for x
    x = 115,104,017.56/8,814.78
  6. Step 6: Final answer
    x = 13,058.07

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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.