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Finding the Fourth Proportional to 14,934.40, 22,401.60 and 6,175.60

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Solution

The fourth proportional to 14,934.40, 22,401.60 and 6,175.60 is: 9,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,934.40 : 22,401.60 = 6,175.60 : x
  2. Step 2: Convert to fraction form
    14,934.40/22,401.60 = 6,175.60/x
  3. Step 3: Cross multiply
    14,934.40x = 22,401.60 × 6,175.60
  4. Step 4: Simplify right side
    14,934.40x = 138,343,320.96
  5. Step 5: Solve for x
    x = 138,343,320.96/14,934.40
  6. Step 6: Final answer
    x = 9,263.40

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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.