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Finding the Fourth Proportional to 14,062.42, 19,406.01 and 7,774.84

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Solution

The fourth proportional to 14,062.42, 19,406.01 and 7,774.84 is: 10,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,062.42 : 19,406.01 = 7,774.84 : x
  2. Step 2: Convert to fraction form
    14,062.42/19,406.01 = 7,774.84/x
  3. Step 3: Cross multiply
    14,062.42x = 19,406.01 × 7,774.84
  4. Step 4: Simplify right side
    14,062.42x = 150,878,622.79
  5. Step 5: Solve for x
    x = 150,878,622.79/14,062.42
  6. Step 6: Final answer
    x = 10,729.21

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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.