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Finding the Fourth Proportional to 7,004.57, 10,507.14 and 2,074.10

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Solution

The fourth proportional to 7,004.57, 10,507.14 and 2,074.10 is: 3,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.57 : 10,507.14 = 2,074.10 : x
  2. Step 2: Convert to fraction form
    7,004.57/10,507.14 = 2,074.10/x
  3. Step 3: Cross multiply
    7,004.57x = 10,507.14 × 2,074.10
  4. Step 4: Simplify right side
    7,004.57x = 21,792,806.54
  5. Step 5: Solve for x
    x = 21,792,806.54/7,004.57
  6. Step 6: Final answer
    x = 3,111.23

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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.