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Finding the Fourth Proportional to 7,863.64, 10,852.88 and 5,077.24

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Solution

The fourth proportional to 7,863.64, 10,852.88 and 5,077.24 is: 7,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.64 : 10,852.88 = 5,077.24 : x
  2. Step 2: Convert to fraction form
    7,863.64/10,852.88 = 5,077.24/x
  3. Step 3: Cross multiply
    7,863.64x = 10,852.88 × 5,077.24
  4. Step 4: Simplify right side
    7,863.64x = 55,102,676.45
  5. Step 5: Solve for x
    x = 55,102,676.45/7,863.64
  6. Step 6: Final answer
    x = 7,007.27

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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.