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Finding the Fourth Proportional to 6,716.54, 9,269.08 and 4,596.50

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Solution

The fourth proportional to 6,716.54, 9,269.08 and 4,596.50 is: 6,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.54 : 9,269.08 = 4,596.50 : x
  2. Step 2: Convert to fraction form
    6,716.54/9,269.08 = 4,596.50/x
  3. Step 3: Cross multiply
    6,716.54x = 9,269.08 × 4,596.50
  4. Step 4: Simplify right side
    6,716.54x = 42,605,326.22
  5. Step 5: Solve for x
    x = 42,605,326.22/6,716.54
  6. Step 6: Final answer
    x = 6,343.34

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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.