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Finding the Fourth Proportional to 6,844.76, 9,448.64 and 4,458.16

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Solution

The fourth proportional to 6,844.76, 9,448.64 and 4,458.16 is: 6,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.76 : 9,448.64 = 4,458.16 : x
  2. Step 2: Convert to fraction form
    6,844.76/9,448.64 = 4,458.16/x
  3. Step 3: Cross multiply
    6,844.76x = 9,448.64 × 4,458.16
  4. Step 4: Simplify right side
    6,844.76x = 42,123,548.90
  5. Step 5: Solve for x
    x = 42,123,548.90/6,844.76
  6. Step 6: Final answer
    x = 6,154.13

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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.