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Finding the Fourth Proportional to 10,017.91, 15,102.94 and 9,482.09

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Solution

The fourth proportional to 10,017.91, 15,102.94 and 9,482.09 is: 14,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.91 : 15,102.94 = 9,482.09 : x
  2. Step 2: Convert to fraction form
    10,017.91/15,102.94 = 9,482.09/x
  3. Step 3: Cross multiply
    10,017.91x = 15,102.94 × 9,482.09
  4. Step 4: Simplify right side
    10,017.91x = 143,207,450.40
  5. Step 5: Solve for x
    x = 143,207,450.40/10,017.91
  6. Step 6: Final answer
    x = 14,295.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.