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Finding the Fourth Proportional to 6,762.84, 10,140.93 and 4,097.10

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Solution

The fourth proportional to 6,762.84, 10,140.93 and 4,097.10 is: 6,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.84 : 10,140.93 = 4,097.10 : x
  2. Step 2: Convert to fraction form
    6,762.84/10,140.93 = 4,097.10/x
  3. Step 3: Cross multiply
    6,762.84x = 10,140.93 × 4,097.10
  4. Step 4: Simplify right side
    6,762.84x = 41,548,404.30
  5. Step 5: Solve for x
    x = 41,548,404.30/6,762.84
  6. Step 6: Final answer
    x = 6,143.63

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1.5x scale

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.