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Finding the Fourth Proportional to 6,526.38, 9,006.30 and 3,875.01

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Solution

The fourth proportional to 6,526.38, 9,006.30 and 3,875.01 is: 5,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.38 : 9,006.30 = 3,875.01 : x
  2. Step 2: Convert to fraction form
    6,526.38/9,006.30 = 3,875.01/x
  3. Step 3: Cross multiply
    6,526.38x = 9,006.30 × 3,875.01
  4. Step 4: Simplify right side
    6,526.38x = 34,899,502.56
  5. Step 5: Solve for x
    x = 34,899,502.56/6,526.38
  6. Step 6: Final answer
    x = 5,347.45

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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.