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Finding the Fourth Proportional to 6,937.64, 9,574.17 and 3,953.60

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Solution

The fourth proportional to 6,937.64, 9,574.17 and 3,953.60 is: 5,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.64 : 9,574.17 = 3,953.60 : x
  2. Step 2: Convert to fraction form
    6,937.64/9,574.17 = 3,953.60/x
  3. Step 3: Cross multiply
    6,937.64x = 9,574.17 × 3,953.60
  4. Step 4: Simplify right side
    6,937.64x = 37,852,438.51
  5. Step 5: Solve for x
    x = 37,852,438.51/6,937.64
  6. Step 6: Final answer
    x = 5,456.10

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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.