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Finding the Fourth Proportional to 5,220, 7,206.96 and 4,659.51

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Solution

The fourth proportional to 5,220, 7,206.96 and 4,659.51 is: 6,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220 : 7,206.96 = 4,659.51 : x
  2. Step 2: Convert to fraction form
    5,220/7,206.96 = 4,659.51/x
  3. Step 3: Cross multiply
    5,220x = 7,206.96 × 4,659.51
  4. Step 4: Simplify right side
    5,220x = 33,580,902.19
  5. Step 5: Solve for x
    x = 33,580,902.19/5,220
  6. Step 6: Final answer
    x = 6,433.12

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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.