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Finding the Fourth Proportional to 9,095.64, 13,644.72 and 3,253.20

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Solution

The fourth proportional to 9,095.64, 13,644.72 and 3,253.20 is: 4,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.64 : 13,644.72 = 3,253.20 : x
  2. Step 2: Convert to fraction form
    9,095.64/13,644.72 = 3,253.20/x
  3. Step 3: Cross multiply
    9,095.64x = 13,644.72 × 3,253.20
  4. Step 4: Simplify right side
    9,095.64x = 44,389,003.10
  5. Step 5: Solve for x
    x = 44,389,003.10/9,095.64
  6. Step 6: Final answer
    x = 4,880.25

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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.