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Finding the Fourth Proportional to 7,177.69, 10,754.80 and 6,904.31

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Solution

The fourth proportional to 7,177.69, 10,754.80 and 6,904.31 is: 10,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.69 : 10,754.80 = 6,904.31 : x
  2. Step 2: Convert to fraction form
    7,177.69/10,754.80 = 6,904.31/x
  3. Step 3: Cross multiply
    7,177.69x = 10,754.80 × 6,904.31
  4. Step 4: Simplify right side
    7,177.69x = 74,254,512.32
  5. Step 5: Solve for x
    x = 74,254,512.32/7,177.69
  6. Step 6: Final answer
    x = 10,345.18

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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.