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Finding the Fourth Proportional to 7,005.16, 9,667 and 3,861.28

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Solution

The fourth proportional to 7,005.16, 9,667 and 3,861.28 is: 5,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.16 : 9,667 = 3,861.28 : x
  2. Step 2: Convert to fraction form
    7,005.16/9,667 = 3,861.28/x
  3. Step 3: Cross multiply
    7,005.16x = 9,667 × 3,861.28
  4. Step 4: Simplify right side
    7,005.16x = 37,326,993.76
  5. Step 5: Solve for x
    x = 37,326,993.76/7,005.16
  6. Step 6: Final answer
    x = 5,328.50

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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.