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Finding the Fourth Proportional to 25,532.66, 38,299 and 7,064.66

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Solution

The fourth proportional to 25,532.66, 38,299 and 7,064.66 is: 10,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532.66 : 38,299 = 7,064.66 : x
  2. Step 2: Convert to fraction form
    25,532.66/38,299 = 7,064.66/x
  3. Step 3: Cross multiply
    25,532.66x = 38,299 × 7,064.66
  4. Step 4: Simplify right side
    25,532.66x = 270,569,413.34
  5. Step 5: Solve for x
    x = 270,569,413.34/25,532.66
  6. Step 6: Final answer
    x = 10,596.99

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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.