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Finding the Fourth Proportional to 9,850.16, 14,772.76 and 4,916.24

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Solution

The fourth proportional to 9,850.16, 14,772.76 and 4,916.24 is: 7,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.16 : 14,772.76 = 4,916.24 : x
  2. Step 2: Convert to fraction form
    9,850.16/14,772.76 = 4,916.24/x
  3. Step 3: Cross multiply
    9,850.16x = 14,772.76 × 4,916.24
  4. Step 4: Simplify right side
    9,850.16x = 72,626,433.62
  5. Step 5: Solve for x
    x = 72,626,433.62/9,850.16
  6. Step 6: Final answer
    x = 7,373.12

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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.