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Finding the Fourth Proportional to 17,648.00, 26,465.67 and 6,400.50

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Solution

The fourth proportional to 17,648.00, 26,465.67 and 6,400.50 is: 9,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.00 : 26,465.67 = 6,400.50 : x
  2. Step 2: Convert to fraction form
    17,648.00/26,465.67 = 6,400.50/x
  3. Step 3: Cross multiply
    17,648.00x = 26,465.67 × 6,400.50
  4. Step 4: Simplify right side
    17,648.00x = 169,393,388.51
  5. Step 5: Solve for x
    x = 169,393,388.51/17,648.00
  6. Step 6: Final answer
    x = 9,598.45

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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.