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Finding the Fourth Proportional to 7,177.41, 10,695.65 and 6,942.51

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Solution

The fourth proportional to 7,177.41, 10,695.65 and 6,942.51 is: 10,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.41 : 10,695.65 = 6,942.51 : x
  2. Step 2: Convert to fraction form
    7,177.41/10,695.65 = 6,942.51/x
  3. Step 3: Cross multiply
    7,177.41x = 10,695.65 × 6,942.51
  4. Step 4: Simplify right side
    7,177.41x = 74,254,622.37
  5. Step 5: Solve for x
    x = 74,254,622.37/7,177.41
  6. Step 6: Final answer
    x = 10,345.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.