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Finding the Fourth Proportional to 25,054.44, 37,581.66 and 6,585

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Solution

The fourth proportional to 25,054.44, 37,581.66 and 6,585 is: 9,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,054.44 : 37,581.66 = 6,585 : x
  2. Step 2: Convert to fraction form
    25,054.44/37,581.66 = 6,585/x
  3. Step 3: Cross multiply
    25,054.44x = 37,581.66 × 6,585
  4. Step 4: Simplify right side
    25,054.44x = 247,475,231.10
  5. Step 5: Solve for x
    x = 247,475,231.10/25,054.44
  6. Step 6: Final answer
    x = 9,877.50

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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.