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Finding the Fourth Proportional to 9,394.54, 14,077.80 and 8,564.68

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Solution

The fourth proportional to 9,394.54, 14,077.80 and 8,564.68 is: 12,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.54 : 14,077.80 = 8,564.68 : x
  2. Step 2: Convert to fraction form
    9,394.54/14,077.80 = 8,564.68/x
  3. Step 3: Cross multiply
    9,394.54x = 14,077.80 × 8,564.68
  4. Step 4: Simplify right side
    9,394.54x = 120,571,852.10
  5. Step 5: Solve for x
    x = 120,571,852.10/9,394.54
  6. Step 6: Final answer
    x = 12,834.25

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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.