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Finding the Fourth Proportional to 7,291.88, 10,880.92 and 6,506.47

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Solution

The fourth proportional to 7,291.88, 10,880.92 and 6,506.47 is: 9,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.88 : 10,880.92 = 6,506.47 : x
  2. Step 2: Convert to fraction form
    7,291.88/10,880.92 = 6,506.47/x
  3. Step 3: Cross multiply
    7,291.88x = 10,880.92 × 6,506.47
  4. Step 4: Simplify right side
    7,291.88x = 70,796,379.55
  5. Step 5: Solve for x
    x = 70,796,379.55/7,291.88
  6. Step 6: Final answer
    x = 9,708.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.