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Finding the Fourth Proportional to 16,104.76, 24,156.06 and 4,417

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Solution

The fourth proportional to 16,104.76, 24,156.06 and 4,417 is: 6,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.76 : 24,156.06 = 4,417 : x
  2. Step 2: Convert to fraction form
    16,104.76/24,156.06 = 4,417/x
  3. Step 3: Cross multiply
    16,104.76x = 24,156.06 × 4,417
  4. Step 4: Simplify right side
    16,104.76x = 106,697,317.02
  5. Step 5: Solve for x
    x = 106,697,317.02/16,104.76
  6. Step 6: Final answer
    x = 6,625.20

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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.