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Finding the Fourth Proportional to 8,297.63, 12,444.51 and 4,780.16

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Solution

The fourth proportional to 8,297.63, 12,444.51 and 4,780.16 is: 7,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.63 : 12,444.51 = 4,780.16 : x
  2. Step 2: Convert to fraction form
    8,297.63/12,444.51 = 4,780.16/x
  3. Step 3: Cross multiply
    8,297.63x = 12,444.51 × 4,780.16
  4. Step 4: Simplify right side
    8,297.63x = 59,486,748.92
  5. Step 5: Solve for x
    x = 59,486,748.92/8,297.63
  6. Step 6: Final answer
    x = 7,169.13

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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.