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Finding the Fourth Proportional to 7,117.50, 10,662.89 and 6,580.47

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Solution

The fourth proportional to 7,117.50, 10,662.89 and 6,580.47 is: 9,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.50 : 10,662.89 = 6,580.47 : x
  2. Step 2: Convert to fraction form
    7,117.50/10,662.89 = 6,580.47/x
  3. Step 3: Cross multiply
    7,117.50x = 10,662.89 × 6,580.47
  4. Step 4: Simplify right side
    7,117.50x = 70,166,794.86
  5. Step 5: Solve for x
    x = 70,166,794.86/7,117.50
  6. Step 6: Final answer
    x = 9,858.35

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Why These Related Problems?

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