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Finding the Fourth Proportional to 25,802.88, 38,699.46 and 10,007.88

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Solution

The fourth proportional to 25,802.88, 38,699.46 and 10,007.88 is: 15,009.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.88 : 38,699.46 = 10,007.88 : x
  2. Step 2: Convert to fraction form
    25,802.88/38,699.46 = 10,007.88/x
  3. Step 3: Cross multiply
    25,802.88x = 38,699.46 × 10,007.88
  4. Step 4: Simplify right side
    25,802.88x = 387,299,551.74
  5. Step 5: Solve for x
    x = 387,299,551.74/25,802.88
  6. Step 6: Final answer
    x = 15,009.94

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1.5x scale

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.