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Finding the Fourth Proportional to 10,093.80, 15,140.70 and 9,899.40

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Solution

The fourth proportional to 10,093.80, 15,140.70 and 9,899.40 is: 14,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.80 : 15,140.70 = 9,899.40 : x
  2. Step 2: Convert to fraction form
    10,093.80/15,140.70 = 9,899.40/x
  3. Step 3: Cross multiply
    10,093.80x = 15,140.70 × 9,899.40
  4. Step 4: Simplify right side
    10,093.80x = 149,883,845.58
  5. Step 5: Solve for x
    x = 149,883,845.58/10,093.80
  6. Step 6: Final answer
    x = 14,849.10

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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.