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Finding the Fourth Proportional to 5,957.50, 8,936.56 and 1,574.84

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Solution

The fourth proportional to 5,957.50, 8,936.56 and 1,574.84 is: 2,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.50 : 8,936.56 = 1,574.84 : x
  2. Step 2: Convert to fraction form
    5,957.50/8,936.56 = 1,574.84/x
  3. Step 3: Cross multiply
    5,957.50x = 8,936.56 × 1,574.84
  4. Step 4: Simplify right side
    5,957.50x = 14,073,607.47
  5. Step 5: Solve for x
    x = 14,073,607.47/5,957.50
  6. Step 6: Final answer
    x = 2,362.34

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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.