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Finding the Fourth Proportional to 25,783.94, 38,675.94 and 7,064.14

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Solution

The fourth proportional to 25,783.94, 38,675.94 and 7,064.14 is: 10,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.94 : 38,675.94 = 7,064.14 : x
  2. Step 2: Convert to fraction form
    25,783.94/38,675.94 = 7,064.14/x
  3. Step 3: Cross multiply
    25,783.94x = 38,675.94 × 7,064.14
  4. Step 4: Simplify right side
    25,783.94x = 273,212,061.41
  5. Step 5: Solve for x
    x = 273,212,061.41/25,783.94
  6. Step 6: Final answer
    x = 10,596.21

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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.