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Finding the Fourth Proportional to 15,441.16, 23,161.74 and 6,205

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Solution

The fourth proportional to 15,441.16, 23,161.74 and 6,205 is: 9,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,441.16 : 23,161.74 = 6,205 : x
  2. Step 2: Convert to fraction form
    15,441.16/23,161.74 = 6,205/x
  3. Step 3: Cross multiply
    15,441.16x = 23,161.74 × 6,205
  4. Step 4: Simplify right side
    15,441.16x = 143,718,596.70
  5. Step 5: Solve for x
    x = 143,718,596.70/15,441.16
  6. Step 6: Final answer
    x = 9,307.50

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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.