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Finding the Fourth Proportional to 9,850.20, 14,772.70 and 4,916.20

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Solution

The fourth proportional to 9,850.20, 14,772.70 and 4,916.20 is: 7,373.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.20 : 14,772.70 = 4,916.20 : x
  2. Step 2: Convert to fraction form
    9,850.20/14,772.70 = 4,916.20/x
  3. Step 3: Cross multiply
    9,850.20x = 14,772.70 × 4,916.20
  4. Step 4: Simplify right side
    9,850.20x = 72,625,547.74
  5. Step 5: Solve for x
    x = 72,625,547.74/9,850.20
  6. Step 6: Final answer
    x = 7,373.00

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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.