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Finding the Fourth Proportional to 9,802.15, 14,705.69 and 4,254.14

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Solution

The fourth proportional to 9,802.15, 14,705.69 and 4,254.14 is: 6,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.15 : 14,705.69 = 4,254.14 : x
  2. Step 2: Convert to fraction form
    9,802.15/14,705.69 = 4,254.14/x
  3. Step 3: Cross multiply
    9,802.15x = 14,705.69 × 4,254.14
  4. Step 4: Simplify right side
    9,802.15x = 62,560,064.06
  5. Step 5: Solve for x
    x = 62,560,064.06/9,802.15
  6. Step 6: Final answer
    x = 6,382.28

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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.