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Finding the Fourth Proportional to 7,005, 9,667.02 and 4,525.32

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Solution

The fourth proportional to 7,005, 9,667.02 and 4,525.32 is: 6,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005 : 9,667.02 = 4,525.32 : x
  2. Step 2: Convert to fraction form
    7,005/9,667.02 = 4,525.32/x
  3. Step 3: Cross multiply
    7,005x = 9,667.02 × 4,525.32
  4. Step 4: Simplify right side
    7,005x = 43,746,358.95
  5. Step 5: Solve for x
    x = 43,746,358.95/7,005
  6. Step 6: Final answer
    x = 6,245.02

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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.