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Finding the Fourth Proportional to 9,802.64, 14,683.98 and 5,844.44

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Solution

The fourth proportional to 9,802.64, 14,683.98 and 5,844.44 is: 8,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.64 : 14,683.98 = 5,844.44 : x
  2. Step 2: Convert to fraction form
    9,802.64/14,683.98 = 5,844.44/x
  3. Step 3: Cross multiply
    9,802.64x = 14,683.98 × 5,844.44
  4. Step 4: Simplify right side
    9,802.64x = 85,819,640.07
  5. Step 5: Solve for x
    x = 85,819,640.07/9,802.64
  6. Step 6: Final answer
    x = 8,754.75

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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.