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Finding the Fourth Proportional to 6,594.32, 9,096.36 and 4,106

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Solution

The fourth proportional to 6,594.32, 9,096.36 and 4,106 is: 5,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.32 : 9,096.36 = 4,106 : x
  2. Step 2: Convert to fraction form
    6,594.32/9,096.36 = 4,106/x
  3. Step 3: Cross multiply
    6,594.32x = 9,096.36 × 4,106
  4. Step 4: Simplify right side
    6,594.32x = 37,349,654.16
  5. Step 5: Solve for x
    x = 37,349,654.16/6,594.32
  6. Step 6: Final answer
    x = 5,663.91

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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.