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Finding the Fourth Proportional to 12,364.75, 18,547.98 and 4,969.22

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Solution

The fourth proportional to 12,364.75, 18,547.98 and 4,969.22 is: 7,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.75 : 18,547.98 = 4,969.22 : x
  2. Step 2: Convert to fraction form
    12,364.75/18,547.98 = 4,969.22/x
  3. Step 3: Cross multiply
    12,364.75x = 18,547.98 × 4,969.22
  4. Step 4: Simplify right side
    12,364.75x = 92,168,900.44
  5. Step 5: Solve for x
    x = 92,168,900.44/12,364.75
  6. Step 6: Final answer
    x = 7,454.17

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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.