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Finding the Fourth Proportional to 6,740.48, 10,095.10 and 6,506.93

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Solution

The fourth proportional to 6,740.48, 10,095.10 and 6,506.93 is: 9,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.48 : 10,095.10 = 6,506.93 : x
  2. Step 2: Convert to fraction form
    6,740.48/10,095.10 = 6,506.93/x
  3. Step 3: Cross multiply
    6,740.48x = 10,095.10 × 6,506.93
  4. Step 4: Simplify right side
    6,740.48x = 65,688,118.01
  5. Step 5: Solve for x
    x = 65,688,118.01/6,740.48
  6. Step 6: Final answer
    x = 9,745.31

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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.