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Finding the Fourth Proportional to 7,235.64, 9,975.56 and 6,497.55

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Solution

The fourth proportional to 7,235.64, 9,975.56 and 6,497.55 is: 8,957.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.64 : 9,975.56 = 6,497.55 : x
  2. Step 2: Convert to fraction form
    7,235.64/9,975.56 = 6,497.55/x
  3. Step 3: Cross multiply
    7,235.64x = 9,975.56 × 6,497.55
  4. Step 4: Simplify right side
    7,235.64x = 64,816,667.39
  5. Step 5: Solve for x
    x = 64,816,667.39/7,235.64
  6. Step 6: Final answer
    x = 8,957.97

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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.