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Finding the Fourth Proportional to 7,842.84, 10,796.74 and 6,795.16

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Solution

The fourth proportional to 7,842.84, 10,796.74 and 6,795.16 is: 9,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.84 : 10,796.74 = 6,795.16 : x
  2. Step 2: Convert to fraction form
    7,842.84/10,796.74 = 6,795.16/x
  3. Step 3: Cross multiply
    7,842.84x = 10,796.74 × 6,795.16
  4. Step 4: Simplify right side
    7,842.84x = 73,365,570.02
  5. Step 5: Solve for x
    x = 73,365,570.02/7,842.84
  6. Step 6: Final answer
    x = 9,354.46

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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.