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Finding the Fourth Proportional to 15,339, 22,994.76 and 5,476.86

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Solution

The fourth proportional to 15,339, 22,994.76 and 5,476.86 is: 8,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,339 : 22,994.76 = 5,476.86 : x
  2. Step 2: Convert to fraction form
    15,339/22,994.76 = 5,476.86/x
  3. Step 3: Cross multiply
    15,339x = 22,994.76 × 5,476.86
  4. Step 4: Simplify right side
    15,339x = 125,939,081.25
  5. Step 5: Solve for x
    x = 125,939,081.25/15,339
  6. Step 6: Final answer
    x = 8,210.38

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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.