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Finding the Fourth Proportional to 9,373.86, 12,913.96 and 6,536.07

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Solution

The fourth proportional to 9,373.86, 12,913.96 and 6,536.07 is: 9,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,373.86 : 12,913.96 = 6,536.07 : x
  2. Step 2: Convert to fraction form
    9,373.86/12,913.96 = 6,536.07/x
  3. Step 3: Cross multiply
    9,373.86x = 12,913.96 × 6,536.07
  4. Step 4: Simplify right side
    9,373.86x = 84,406,546.54
  5. Step 5: Solve for x
    x = 84,406,546.54/9,373.86
  6. Step 6: Final answer
    x = 9,004.46

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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.