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Finding the Fourth Proportional to 7,085.44, 10,556.96 and 6,688

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Solution

The fourth proportional to 7,085.44, 10,556.96 and 6,688 is: 9,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.44 : 10,556.96 = 6,688 : x
  2. Step 2: Convert to fraction form
    7,085.44/10,556.96 = 6,688/x
  3. Step 3: Cross multiply
    7,085.44x = 10,556.96 × 6,688
  4. Step 4: Simplify right side
    7,085.44x = 70,604,948.48
  5. Step 5: Solve for x
    x = 70,604,948.48/7,085.44
  6. Step 6: Final answer
    x = 9,964.79

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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.