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Finding the Fourth Proportional to 6,968.16, 9,608.32 and 6,806.88

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Solution

The fourth proportional to 6,968.16, 9,608.32 and 6,806.88 is: 9,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.16 : 9,608.32 = 6,806.88 : x
  2. Step 2: Convert to fraction form
    6,968.16/9,608.32 = 6,806.88/x
  3. Step 3: Cross multiply
    6,968.16x = 9,608.32 × 6,806.88
  4. Step 4: Simplify right side
    6,968.16x = 65,402,681.24
  5. Step 5: Solve for x
    x = 65,402,681.24/6,968.16
  6. Step 6: Final answer
    x = 9,385.93

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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.