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Finding the Fourth Proportional to 25,332.81, 37,999.74 and 7,802.64

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Solution

The fourth proportional to 25,332.81, 37,999.74 and 7,802.64 is: 11,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,332.81 : 37,999.74 = 7,802.64 : x
  2. Step 2: Convert to fraction form
    25,332.81/37,999.74 = 7,802.64/x
  3. Step 3: Cross multiply
    25,332.81x = 37,999.74 × 7,802.64
  4. Step 4: Simplify right side
    25,332.81x = 296,498,291.31
  5. Step 5: Solve for x
    x = 296,498,291.31/25,332.81
  6. Step 6: Final answer
    x = 11,704.12

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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.