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Finding the Fourth Proportional to 9,774.12, 13,488.12 and 5,525.11

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Solution

The fourth proportional to 9,774.12, 13,488.12 and 5,525.11 is: 7,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.12 : 13,488.12 = 5,525.11 : x
  2. Step 2: Convert to fraction form
    9,774.12/13,488.12 = 5,525.11/x
  3. Step 3: Cross multiply
    9,774.12x = 13,488.12 × 5,525.11
  4. Step 4: Simplify right side
    9,774.12x = 74,523,363.55
  5. Step 5: Solve for x
    x = 74,523,363.55/9,774.12
  6. Step 6: Final answer
    x = 7,624.56

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Half scale
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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.