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Finding the Fourth Proportional to 13,957.68, 19,261.08 and 7,669.68

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Solution

The fourth proportional to 13,957.68, 19,261.08 and 7,669.68 is: 10,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.68 : 19,261.08 = 7,669.68 : x
  2. Step 2: Convert to fraction form
    13,957.68/19,261.08 = 7,669.68/x
  3. Step 3: Cross multiply
    13,957.68x = 19,261.08 × 7,669.68
  4. Step 4: Simplify right side
    13,957.68x = 147,726,320.05
  5. Step 5: Solve for x
    x = 147,726,320.05/13,957.68
  6. Step 6: Final answer
    x = 10,583.87

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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.