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Finding the Fourth Proportional to 16,396.40, 24,605.14 and 6,409.10

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Solution

The fourth proportional to 16,396.40, 24,605.14 and 6,409.10 is: 9,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,396.40 : 24,605.14 = 6,409.10 : x
  2. Step 2: Convert to fraction form
    16,396.40/24,605.14 = 6,409.10/x
  3. Step 3: Cross multiply
    16,396.40x = 24,605.14 × 6,409.10
  4. Step 4: Simplify right side
    16,396.40x = 157,696,802.77
  5. Step 5: Solve for x
    x = 157,696,802.77/16,396.40
  6. Step 6: Final answer
    x = 9,617.77

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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.