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Finding the Fourth Proportional to 10,180.90, 15,264.15 and 4,636.90

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Solution

The fourth proportional to 10,180.90, 15,264.15 and 4,636.90 is: 6,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.90 : 15,264.15 = 4,636.90 : x
  2. Step 2: Convert to fraction form
    10,180.90/15,264.15 = 4,636.90/x
  3. Step 3: Cross multiply
    10,180.90x = 15,264.15 × 4,636.90
  4. Step 4: Simplify right side
    10,180.90x = 70,778,337.14
  5. Step 5: Solve for x
    x = 70,778,337.14/10,180.90
  6. Step 6: Final answer
    x = 6,952.07

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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.