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Finding the Fourth Proportional to 9,256.64, 13,884.06 and 5,095.28

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Solution

The fourth proportional to 9,256.64, 13,884.06 and 5,095.28 is: 7,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.64 : 13,884.06 = 5,095.28 : x
  2. Step 2: Convert to fraction form
    9,256.64/13,884.06 = 5,095.28/x
  3. Step 3: Cross multiply
    9,256.64x = 13,884.06 × 5,095.28
  4. Step 4: Simplify right side
    9,256.64x = 70,743,173.24
  5. Step 5: Solve for x
    x = 70,743,173.24/9,256.64
  6. Step 6: Final answer
    x = 7,642.42

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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.