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Finding the Fourth Proportional to 7,212, 9,952.80 and 4,416.96

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Solution

The fourth proportional to 7,212, 9,952.80 and 4,416.96 is: 6,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212 : 9,952.80 = 4,416.96 : x
  2. Step 2: Convert to fraction form
    7,212/9,952.80 = 4,416.96/x
  3. Step 3: Cross multiply
    7,212x = 9,952.80 × 4,416.96
  4. Step 4: Simplify right side
    7,212x = 43,961,119.49
  5. Step 5: Solve for x
    x = 43,961,119.49/7,212
  6. Step 6: Final answer
    x = 6,095.55

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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.