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Finding the Fourth Proportional to 7,656.32, 10,564.74 and 4,468.88

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Solution

The fourth proportional to 7,656.32, 10,564.74 and 4,468.88 is: 6,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.32 : 10,564.74 = 4,468.88 : x
  2. Step 2: Convert to fraction form
    7,656.32/10,564.74 = 4,468.88/x
  3. Step 3: Cross multiply
    7,656.32x = 10,564.74 × 4,468.88
  4. Step 4: Simplify right side
    7,656.32x = 47,212,532.95
  5. Step 5: Solve for x
    x = 47,212,532.95/7,656.32
  6. Step 6: Final answer
    x = 6,166.48

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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.