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Finding the Fourth Proportional to 7,130.82, 9,844.27 and 4,442.86

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Solution

The fourth proportional to 7,130.82, 9,844.27 and 4,442.86 is: 6,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.82 : 9,844.27 = 4,442.86 : x
  2. Step 2: Convert to fraction form
    7,130.82/9,844.27 = 4,442.86/x
  3. Step 3: Cross multiply
    7,130.82x = 9,844.27 × 4,442.86
  4. Step 4: Simplify right side
    7,130.82x = 43,736,714.61
  5. Step 5: Solve for x
    x = 43,736,714.61/7,130.82
  6. Step 6: Final answer
    x = 6,133.47

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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.