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Finding the Fourth Proportional to 15,308.40, 22,962.06 and 4,778.40

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Solution

The fourth proportional to 15,308.40, 22,962.06 and 4,778.40 is: 7,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,308.40 : 22,962.06 = 4,778.40 : x
  2. Step 2: Convert to fraction form
    15,308.40/22,962.06 = 4,778.40/x
  3. Step 3: Cross multiply
    15,308.40x = 22,962.06 × 4,778.40
  4. Step 4: Simplify right side
    15,308.40x = 109,721,907.50
  5. Step 5: Solve for x
    x = 109,721,907.50/15,308.40
  6. Step 6: Final answer
    x = 7,167.43

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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.