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Finding the Fourth Proportional to 25,802.16, 38,703.60 and 7,334.16

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Solution

The fourth proportional to 25,802.16, 38,703.60 and 7,334.16 is: 11,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.16 : 38,703.60 = 7,334.16 : x
  2. Step 2: Convert to fraction form
    25,802.16/38,703.60 = 7,334.16/x
  3. Step 3: Cross multiply
    25,802.16x = 38,703.60 × 7,334.16
  4. Step 4: Simplify right side
    25,802.16x = 283,858,394.98
  5. Step 5: Solve for x
    x = 283,858,394.98/25,802.16
  6. Step 6: Final answer
    x = 11,001.34

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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.