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Finding the Fourth Proportional to 4,968.96, 7,452.96 and 1,506.24

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Solution

The fourth proportional to 4,968.96, 7,452.96 and 1,506.24 is: 2,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.96 : 7,452.96 = 1,506.24 : x
  2. Step 2: Convert to fraction form
    4,968.96/7,452.96 = 1,506.24/x
  3. Step 3: Cross multiply
    4,968.96x = 7,452.96 × 1,506.24
  4. Step 4: Simplify right side
    4,968.96x = 11,225,946.47
  5. Step 5: Solve for x
    x = 11,225,946.47/4,968.96
  6. Step 6: Final answer
    x = 2,259.21

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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.