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Finding the Fourth Proportional to 6,477.51, 9,713.89 and 2,316.39

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Solution

The fourth proportional to 6,477.51, 9,713.89 and 2,316.39 is: 3,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.51 : 9,713.89 = 2,316.39 : x
  2. Step 2: Convert to fraction form
    6,477.51/9,713.89 = 2,316.39/x
  3. Step 3: Cross multiply
    6,477.51x = 9,713.89 × 2,316.39
  4. Step 4: Simplify right side
    6,477.51x = 22,501,176.15
  5. Step 5: Solve for x
    x = 22,501,176.15/6,477.51
  6. Step 6: Final answer
    x = 3,473.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.