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Finding the Fourth Proportional to 9,802.95, 14,704.30 and 2,407.44

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Solution

The fourth proportional to 9,802.95, 14,704.30 and 2,407.44 is: 3,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.95 : 14,704.30 = 2,407.44 : x
  2. Step 2: Convert to fraction form
    9,802.95/14,704.30 = 2,407.44/x
  3. Step 3: Cross multiply
    9,802.95x = 14,704.30 × 2,407.44
  4. Step 4: Simplify right side
    9,802.95x = 35,399,719.99
  5. Step 5: Solve for x
    x = 35,399,719.99/9,802.95
  6. Step 6: Final answer
    x = 3,611.13

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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.