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Finding the Fourth Proportional to 6,657.48, 9,970.66 and 5,261.45

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Solution

The fourth proportional to 6,657.48, 9,970.66 and 5,261.45 is: 7,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.48 : 9,970.66 = 5,261.45 : x
  2. Step 2: Convert to fraction form
    6,657.48/9,970.66 = 5,261.45/x
  3. Step 3: Cross multiply
    6,657.48x = 9,970.66 × 5,261.45
  4. Step 4: Simplify right side
    6,657.48x = 52,460,066.05
  5. Step 5: Solve for x
    x = 52,460,066.05/6,657.48
  6. Step 6: Final answer
    x = 7,879.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.