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Finding the Fourth Proportional to 7,225.35, 9,968.02 and 5,727.25

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Solution

The fourth proportional to 7,225.35, 9,968.02 and 5,727.25 is: 7,901.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.35 : 9,968.02 = 5,727.25 : x
  2. Step 2: Convert to fraction form
    7,225.35/9,968.02 = 5,727.25/x
  3. Step 3: Cross multiply
    7,225.35x = 9,968.02 × 5,727.25
  4. Step 4: Simplify right side
    7,225.35x = 57,089,342.55
  5. Step 5: Solve for x
    x = 57,089,342.55/7,225.35
  6. Step 6: Final answer
    x = 7,901.26

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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.