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Finding the Fourth Proportional to 6,635.76, 9,152.63 and 5,497.84

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Solution

The fourth proportional to 6,635.76, 9,152.63 and 5,497.84 is: 7,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.76 : 9,152.63 = 5,497.84 : x
  2. Step 2: Convert to fraction form
    6,635.76/9,152.63 = 5,497.84/x
  3. Step 3: Cross multiply
    6,635.76x = 9,152.63 × 5,497.84
  4. Step 4: Simplify right side
    6,635.76x = 50,319,695.32
  5. Step 5: Solve for x
    x = 50,319,695.32/6,635.76
  6. Step 6: Final answer
    x = 7,583.11

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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.