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Finding the Fourth Proportional to 4,667.46, 6,967.04 and 4,113.90

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Solution

The fourth proportional to 4,667.46, 6,967.04 and 4,113.90 is: 6,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.46 : 6,967.04 = 4,113.90 : x
  2. Step 2: Convert to fraction form
    4,667.46/6,967.04 = 4,113.90/x
  3. Step 3: Cross multiply
    4,667.46x = 6,967.04 × 4,113.90
  4. Step 4: Simplify right side
    4,667.46x = 28,661,681.31
  5. Step 5: Solve for x
    x = 28,661,681.31/4,667.46
  6. Step 6: Final answer
    x = 6,140.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.