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Finding the Fourth Proportional to 9,802.92, 14,600.61 and 9,755.13

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Solution

The fourth proportional to 9,802.92, 14,600.61 and 9,755.13 is: 14,529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.92 : 14,600.61 = 9,755.13 : x
  2. Step 2: Convert to fraction form
    9,802.92/14,600.61 = 9,755.13/x
  3. Step 3: Cross multiply
    9,802.92x = 14,600.61 × 9,755.13
  4. Step 4: Simplify right side
    9,802.92x = 142,430,848.63
  5. Step 5: Solve for x
    x = 142,430,848.63/9,802.92
  6. Step 6: Final answer
    x = 14,529.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.