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Finding the Fourth Proportional to 13,753.53, 18,980.53 and 7,787.07

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Solution

The fourth proportional to 13,753.53, 18,980.53 and 7,787.07 is: 10,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.53 : 18,980.53 = 7,787.07 : x
  2. Step 2: Convert to fraction form
    13,753.53/18,980.53 = 7,787.07/x
  3. Step 3: Cross multiply
    13,753.53x = 18,980.53 × 7,787.07
  4. Step 4: Simplify right side
    13,753.53x = 147,802,696.28
  5. Step 5: Solve for x
    x = 147,802,696.28/13,753.53
  6. Step 6: Final answer
    x = 10,746.53

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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.