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Finding the Fourth Proportional to 6,608.96, 9,902.24 and 4,652.16

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Solution

The fourth proportional to 6,608.96, 9,902.24 and 4,652.16 is: 6,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.96 : 9,902.24 = 4,652.16 : x
  2. Step 2: Convert to fraction form
    6,608.96/9,902.24 = 4,652.16/x
  3. Step 3: Cross multiply
    6,608.96x = 9,902.24 × 4,652.16
  4. Step 4: Simplify right side
    6,608.96x = 46,066,804.84
  5. Step 5: Solve for x
    x = 46,066,804.84/6,608.96
  6. Step 6: Final answer
    x = 6,970.36

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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.