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Finding the Fourth Proportional to 6,886.56, 9,507.80 and 4,532.64

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Solution

The fourth proportional to 6,886.56, 9,507.80 and 4,532.64 is: 6,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.56 : 9,507.80 = 4,532.64 : x
  2. Step 2: Convert to fraction form
    6,886.56/9,507.80 = 4,532.64/x
  3. Step 3: Cross multiply
    6,886.56x = 9,507.80 × 4,532.64
  4. Step 4: Simplify right side
    6,886.56x = 43,095,434.59
  5. Step 5: Solve for x
    x = 43,095,434.59/6,886.56
  6. Step 6: Final answer
    x = 6,257.90

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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.