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Finding the Fourth Proportional to 8,277.65, 12,416.48 and 5,823.45

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Solution

The fourth proportional to 8,277.65, 12,416.48 and 5,823.45 is: 8,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.65 : 12,416.48 = 5,823.45 : x
  2. Step 2: Convert to fraction form
    8,277.65/12,416.48 = 5,823.45/x
  3. Step 3: Cross multiply
    8,277.65x = 12,416.48 × 5,823.45
  4. Step 4: Simplify right side
    8,277.65x = 72,306,789.74
  5. Step 5: Solve for x
    x = 72,306,789.74/8,277.65
  6. Step 6: Final answer
    x = 8,735.18

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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.