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Finding the Fourth Proportional to 7,038.57, 9,713.22 and 3,895.23

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Solution

The fourth proportional to 7,038.57, 9,713.22 and 3,895.23 is: 5,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.57 : 9,713.22 = 3,895.23 : x
  2. Step 2: Convert to fraction form
    7,038.57/9,713.22 = 3,895.23/x
  3. Step 3: Cross multiply
    7,038.57x = 9,713.22 × 3,895.23
  4. Step 4: Simplify right side
    7,038.57x = 37,835,225.94
  5. Step 5: Solve for x
    x = 37,835,225.94/7,038.57
  6. Step 6: Final answer
    x = 5,375.41

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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.