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Finding the Fourth Proportional to 12,774.40, 17,630.78 and 7,468.20

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Solution

The fourth proportional to 12,774.40, 17,630.78 and 7,468.20 is: 10,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.40 : 17,630.78 = 7,468.20 : x
  2. Step 2: Convert to fraction form
    12,774.40/17,630.78 = 7,468.20/x
  3. Step 3: Cross multiply
    12,774.40x = 17,630.78 × 7,468.20
  4. Step 4: Simplify right side
    12,774.40x = 131,670,191.20
  5. Step 5: Solve for x
    x = 131,670,191.20/12,774.40
  6. Step 6: Final answer
    x = 10,307.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.