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Finding the Fourth Proportional to 7,102.94, 9,802.08 and 4,120.54

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Solution

The fourth proportional to 7,102.94, 9,802.08 and 4,120.54 is: 5,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.94 : 9,802.08 = 4,120.54 : x
  2. Step 2: Convert to fraction form
    7,102.94/9,802.08 = 4,120.54/x
  3. Step 3: Cross multiply
    7,102.94x = 9,802.08 × 4,120.54
  4. Step 4: Simplify right side
    7,102.94x = 40,389,862.72
  5. Step 5: Solve for x
    x = 40,389,862.72/7,102.94
  6. Step 6: Final answer
    x = 5,686.36

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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.