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Finding the Fourth Proportional to 6,950.89, 9,607.22 and 6,148.54

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Solution

The fourth proportional to 6,950.89, 9,607.22 and 6,148.54 is: 8,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.89 : 9,607.22 = 6,148.54 : x
  2. Step 2: Convert to fraction form
    6,950.89/9,607.22 = 6,148.54/x
  3. Step 3: Cross multiply
    6,950.89x = 9,607.22 × 6,148.54
  4. Step 4: Simplify right side
    6,950.89x = 59,070,376.46
  5. Step 5: Solve for x
    x = 59,070,376.46/6,950.89
  6. Step 6: Final answer
    x = 8,498.25

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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.