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Finding the Fourth Proportional to 3,232.06, 4,848.27 and 923.50

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Solution

The fourth proportional to 3,232.06, 4,848.27 and 923.50 is: 1,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.06 : 4,848.27 = 923.50 : x
  2. Step 2: Convert to fraction form
    3,232.06/4,848.27 = 923.50/x
  3. Step 3: Cross multiply
    3,232.06x = 4,848.27 × 923.50
  4. Step 4: Simplify right side
    3,232.06x = 4,477,377.35
  5. Step 5: Solve for x
    x = 4,477,377.35/3,232.06
  6. Step 6: Final answer
    x = 1,385.30

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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.