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Finding the Fourth Proportional to 8,357.67, 11,533.06 and 4,773.03

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Solution

The fourth proportional to 8,357.67, 11,533.06 and 4,773.03 is: 6,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.67 : 11,533.06 = 4,773.03 : x
  2. Step 2: Convert to fraction form
    8,357.67/11,533.06 = 4,773.03/x
  3. Step 3: Cross multiply
    8,357.67x = 11,533.06 × 4,773.03
  4. Step 4: Simplify right side
    8,357.67x = 55,047,641.37
  5. Step 5: Solve for x
    x = 55,047,641.37/8,357.67
  6. Step 6: Final answer
    x = 6,586.48

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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.