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Finding the Fourth Proportional to 13,943.67, 20,915.54 and 9,802.19

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Solution

The fourth proportional to 13,943.67, 20,915.54 and 9,802.19 is: 14,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943.67 : 20,915.54 = 9,802.19 : x
  2. Step 2: Convert to fraction form
    13,943.67/20,915.54 = 9,802.19/x
  3. Step 3: Cross multiply
    13,943.67x = 20,915.54 × 9,802.19
  4. Step 4: Simplify right side
    13,943.67x = 205,018,097.03
  5. Step 5: Solve for x
    x = 205,018,097.03/13,943.67
  6. Step 6: Final answer
    x = 14,703.31

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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.