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Finding the Fourth Proportional to 7,100.94, 9,798.12 and 3,957.21

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Solution

The fourth proportional to 7,100.94, 9,798.12 and 3,957.21 is: 5,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.94 : 9,798.12 = 3,957.21 : x
  2. Step 2: Convert to fraction form
    7,100.94/9,798.12 = 3,957.21/x
  3. Step 3: Cross multiply
    7,100.94x = 9,798.12 × 3,957.21
  4. Step 4: Simplify right side
    7,100.94x = 38,773,218.45
  5. Step 5: Solve for x
    x = 38,773,218.45/7,100.94
  6. Step 6: Final answer
    x = 5,460.29

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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.