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Finding the Fourth Proportional to 7,556.76, 10,424.70 and 6,507

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Solution

The fourth proportional to 7,556.76, 10,424.70 and 6,507 is: 8,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556.76 : 10,424.70 = 6,507 : x
  2. Step 2: Convert to fraction form
    7,556.76/10,424.70 = 6,507/x
  3. Step 3: Cross multiply
    7,556.76x = 10,424.70 × 6,507
  4. Step 4: Simplify right side
    7,556.76x = 67,833,522.90
  5. Step 5: Solve for x
    x = 67,833,522.90/7,556.76
  6. Step 6: Final answer
    x = 8,976.54

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.