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Finding the Fourth Proportional to 25,294.90, 37,943.04 and 6,574.52

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Solution

The fourth proportional to 25,294.90, 37,943.04 and 6,574.52 is: 9,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.90 : 37,943.04 = 6,574.52 : x
  2. Step 2: Convert to fraction form
    25,294.90/37,943.04 = 6,574.52/x
  3. Step 3: Cross multiply
    25,294.90x = 37,943.04 × 6,574.52
  4. Step 4: Simplify right side
    25,294.90x = 249,457,275.34
  5. Step 5: Solve for x
    x = 249,457,275.34/25,294.90
  6. Step 6: Final answer
    x = 9,861.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.