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Finding the Fourth Proportional to 5,146.53, 7,098.60 and 4,975.21

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Solution

The fourth proportional to 5,146.53, 7,098.60 and 4,975.21 is: 6,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.53 : 7,098.60 = 4,975.21 : x
  2. Step 2: Convert to fraction form
    5,146.53/7,098.60 = 4,975.21/x
  3. Step 3: Cross multiply
    5,146.53x = 7,098.60 × 4,975.21
  4. Step 4: Simplify right side
    5,146.53x = 35,317,025.71
  5. Step 5: Solve for x
    x = 35,317,025.71/5,146.53
  6. Step 6: Final answer
    x = 6,862.30

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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.