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Finding the Fourth Proportional to 9,464.76, 13,062 and 6,272.52

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Solution

The fourth proportional to 9,464.76, 13,062 and 6,272.52 is: 8,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.76 : 13,062 = 6,272.52 : x
  2. Step 2: Convert to fraction form
    9,464.76/13,062 = 6,272.52/x
  3. Step 3: Cross multiply
    9,464.76x = 13,062 × 6,272.52
  4. Step 4: Simplify right side
    9,464.76x = 81,931,656.24
  5. Step 5: Solve for x
    x = 81,931,656.24/9,464.76
  6. Step 6: Final answer
    x = 8,656.50

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Double scale
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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.