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Finding the Fourth Proportional to 5,133.55, 7,706.40 and 5,097.10

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Solution

The fourth proportional to 5,133.55, 7,706.40 and 5,097.10 is: 7,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.55 : 7,706.40 = 5,097.10 : x
  2. Step 2: Convert to fraction form
    5,133.55/7,706.40 = 5,097.10/x
  3. Step 3: Cross multiply
    5,133.55x = 7,706.40 × 5,097.10
  4. Step 4: Simplify right side
    5,133.55x = 39,280,291.44
  5. Step 5: Solve for x
    x = 39,280,291.44/5,133.55
  6. Step 6: Final answer
    x = 7,651.68

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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.