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Finding the Fourth Proportional to 9,802.71, 13,536.71 and 6,272.12

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Solution

The fourth proportional to 9,802.71, 13,536.71 and 6,272.12 is: 8,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.71 : 13,536.71 = 6,272.12 : x
  2. Step 2: Convert to fraction form
    9,802.71/13,536.71 = 6,272.12/x
  3. Step 3: Cross multiply
    9,802.71x = 13,536.71 × 6,272.12
  4. Step 4: Simplify right side
    9,802.71x = 84,903,770.48
  5. Step 5: Solve for x
    x = 84,903,770.48/9,802.71
  6. Step 6: Final answer
    x = 8,661.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.