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Finding the Fourth Proportional to 9,880.98, 14,813.78 and 4,948.08

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Solution

The fourth proportional to 9,880.98, 14,813.78 and 4,948.08 is: 7,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.98 : 14,813.78 = 4,948.08 : x
  2. Step 2: Convert to fraction form
    9,880.98/14,813.78 = 4,948.08/x
  3. Step 3: Cross multiply
    9,880.98x = 14,813.78 × 4,948.08
  4. Step 4: Simplify right side
    9,880.98x = 73,299,768.54
  5. Step 5: Solve for x
    x = 73,299,768.54/9,880.98
  6. Step 6: Final answer
    x = 7,418.27

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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.