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Finding the Fourth Proportional to 4,608.96, 6,913.53 and 1,322.16

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Solution

The fourth proportional to 4,608.96, 6,913.53 and 1,322.16 is: 1,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.96 : 6,913.53 = 1,322.16 : x
  2. Step 2: Convert to fraction form
    4,608.96/6,913.53 = 1,322.16/x
  3. Step 3: Cross multiply
    4,608.96x = 6,913.53 × 1,322.16
  4. Step 4: Simplify right side
    4,608.96x = 9,140,792.82
  5. Step 5: Solve for x
    x = 9,140,792.82/4,608.96
  6. Step 6: Final answer
    x = 1,983.27

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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.