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Finding the Fourth Proportional to 7,756.61, 10,693.49 and 6,968.44

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Solution

The fourth proportional to 7,756.61, 10,693.49 and 6,968.44 is: 9,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.61 : 10,693.49 = 6,968.44 : x
  2. Step 2: Convert to fraction form
    7,756.61/10,693.49 = 6,968.44/x
  3. Step 3: Cross multiply
    7,756.61x = 10,693.49 × 6,968.44
  4. Step 4: Simplify right side
    7,756.61x = 74,516,881.88
  5. Step 5: Solve for x
    x = 74,516,881.88/7,756.61
  6. Step 6: Final answer
    x = 9,606.88

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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.