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Finding the Fourth Proportional to 9,775.62, 13,490.19 and 5,526.62

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Solution

The fourth proportional to 9,775.62, 13,490.19 and 5,526.62 is: 7,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.62 : 13,490.19 = 5,526.62 : x
  2. Step 2: Convert to fraction form
    9,775.62/13,490.19 = 5,526.62/x
  3. Step 3: Cross multiply
    9,775.62x = 13,490.19 × 5,526.62
  4. Step 4: Simplify right side
    9,775.62x = 74,555,086.41
  5. Step 5: Solve for x
    x = 74,555,086.41/9,775.62
  6. Step 6: Final answer
    x = 7,626.64

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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.