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Finding the Fourth Proportional to 9,766.74, 13,477.13 and 5,459.03

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Solution

The fourth proportional to 9,766.74, 13,477.13 and 5,459.03 is: 7,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.74 : 13,477.13 = 5,459.03 : x
  2. Step 2: Convert to fraction form
    9,766.74/13,477.13 = 5,459.03/x
  3. Step 3: Cross multiply
    9,766.74x = 13,477.13 × 5,459.03
  4. Step 4: Simplify right side
    9,766.74x = 73,571,989.60
  5. Step 5: Solve for x
    x = 73,571,989.60/9,766.74
  6. Step 6: Final answer
    x = 7,532.91

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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.