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Finding the Fourth Proportional to 8,214.80, 11,337 and 4,678.16

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Solution

The fourth proportional to 8,214.80, 11,337 and 4,678.16 is: 6,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.80 : 11,337 = 4,678.16 : x
  2. Step 2: Convert to fraction form
    8,214.80/11,337 = 4,678.16/x
  3. Step 3: Cross multiply
    8,214.80x = 11,337 × 4,678.16
  4. Step 4: Simplify right side
    8,214.80x = 53,036,299.92
  5. Step 5: Solve for x
    x = 53,036,299.92/8,214.80
  6. Step 6: Final answer
    x = 6,456.19

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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.