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Finding the Fourth Proportional to 6,400.52, 9,601.56 and 1,783.52

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Solution

The fourth proportional to 6,400.52, 9,601.56 and 1,783.52 is: 2,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.52 : 9,601.56 = 1,783.52 : x
  2. Step 2: Convert to fraction form
    6,400.52/9,601.56 = 1,783.52/x
  3. Step 3: Cross multiply
    6,400.52x = 9,601.56 × 1,783.52
  4. Step 4: Simplify right side
    6,400.52x = 17,124,574.29
  5. Step 5: Solve for x
    x = 17,124,574.29/6,400.52
  6. Step 6: Final answer
    x = 2,675.50

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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.