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Finding the Fourth Proportional to 9,004.64, 13,506.88 and 7,156.48

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Solution

The fourth proportional to 9,004.64, 13,506.88 and 7,156.48 is: 10,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.64 : 13,506.88 = 7,156.48 : x
  2. Step 2: Convert to fraction form
    9,004.64/13,506.88 = 7,156.48/x
  3. Step 3: Cross multiply
    9,004.64x = 13,506.88 × 7,156.48
  4. Step 4: Simplify right side
    9,004.64x = 96,661,716.58
  5. Step 5: Solve for x
    x = 96,661,716.58/9,004.64
  6. Step 6: Final answer
    x = 10,734.66

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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.