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Finding the Fourth Proportional to 25,053, 37,581.72 and 6,585

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Solution

The fourth proportional to 25,053, 37,581.72 and 6,585 is: 9,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,053 : 37,581.72 = 6,585 : x
  2. Step 2: Convert to fraction form
    25,053/37,581.72 = 6,585/x
  3. Step 3: Cross multiply
    25,053x = 37,581.72 × 6,585
  4. Step 4: Simplify right side
    25,053x = 247,475,626.20
  5. Step 5: Solve for x
    x = 247,475,626.20/25,053
  6. Step 6: Final answer
    x = 9,878.08

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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.