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Finding the Fourth Proportional to 16,534.77, 24,802.34 and 4,848.22

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Solution

The fourth proportional to 16,534.77, 24,802.34 and 4,848.22 is: 7,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.77 : 24,802.34 = 4,848.22 : x
  2. Step 2: Convert to fraction form
    16,534.77/24,802.34 = 4,848.22/x
  3. Step 3: Cross multiply
    16,534.77x = 24,802.34 × 4,848.22
  4. Step 4: Simplify right side
    16,534.77x = 120,247,200.83
  5. Step 5: Solve for x
    x = 120,247,200.83/16,534.77
  6. Step 6: Final answer
    x = 7,272.38

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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.