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Finding the Fourth Proportional to 8,397.46, 11,588.47 and 4,671.46

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Solution

The fourth proportional to 8,397.46, 11,588.47 and 4,671.46 is: 6,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.46 : 11,588.47 = 4,671.46 : x
  2. Step 2: Convert to fraction form
    8,397.46/11,588.47 = 4,671.46/x
  3. Step 3: Cross multiply
    8,397.46x = 11,588.47 × 4,671.46
  4. Step 4: Simplify right side
    8,397.46x = 54,135,074.07
  5. Step 5: Solve for x
    x = 54,135,074.07/8,397.46
  6. Step 6: Final answer
    x = 6,446.60

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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.