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Finding the Fourth Proportional to 9,204.95, 12,710.96 and 6,842.99

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Solution

The fourth proportional to 9,204.95, 12,710.96 and 6,842.99 is: 9,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.95 : 12,710.96 = 6,842.99 : x
  2. Step 2: Convert to fraction form
    9,204.95/12,710.96 = 6,842.99/x
  3. Step 3: Cross multiply
    9,204.95x = 12,710.96 × 6,842.99
  4. Step 4: Simplify right side
    9,204.95x = 86,980,995.39
  5. Step 5: Solve for x
    x = 86,980,995.39/9,204.95
  6. Step 6: Final answer
    x = 9,449.37

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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.