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Finding the Fourth Proportional to 7,007.44, 9,670.32 and 3,864.16

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Solution

The fourth proportional to 7,007.44, 9,670.32 and 3,864.16 is: 5,332.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.44 : 9,670.32 = 3,864.16 : x
  2. Step 2: Convert to fraction form
    7,007.44/9,670.32 = 3,864.16/x
  3. Step 3: Cross multiply
    7,007.44x = 9,670.32 × 3,864.16
  4. Step 4: Simplify right side
    7,007.44x = 37,367,663.73
  5. Step 5: Solve for x
    x = 37,367,663.73/7,007.44
  6. Step 6: Final answer
    x = 5,332.57

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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.