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Finding the Fourth Proportional to 7,557.50, 10,431 and 4,201.46

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Solution

The fourth proportional to 7,557.50, 10,431 and 4,201.46 is: 5,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.50 : 10,431 = 4,201.46 : x
  2. Step 2: Convert to fraction form
    7,557.50/10,431 = 4,201.46/x
  3. Step 3: Cross multiply
    7,557.50x = 10,431 × 4,201.46
  4. Step 4: Simplify right side
    7,557.50x = 43,825,429.26
  5. Step 5: Solve for x
    x = 43,825,429.26/7,557.50
  6. Step 6: Final answer
    x = 5,798.93

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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.