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Finding the Fourth Proportional to 7,632.34, 10,514.64 and 7,173.07

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Solution

The fourth proportional to 7,632.34, 10,514.64 and 7,173.07 is: 9,881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.34 : 10,514.64 = 7,173.07 : x
  2. Step 2: Convert to fraction form
    7,632.34/10,514.64 = 7,173.07/x
  3. Step 3: Cross multiply
    7,632.34x = 10,514.64 × 7,173.07
  4. Step 4: Simplify right side
    7,632.34x = 75,422,249.36
  5. Step 5: Solve for x
    x = 75,422,249.36/7,632.34
  6. Step 6: Final answer
    x = 9,881.93

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Half scale
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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.