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Finding the Fourth Proportional to 13,705.71, 18,913.80 and 7,737.32

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Solution

The fourth proportional to 13,705.71, 18,913.80 and 7,737.32 is: 10,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.71 : 18,913.80 = 7,737.32 : x
  2. Step 2: Convert to fraction form
    13,705.71/18,913.80 = 7,737.32/x
  3. Step 3: Cross multiply
    13,705.71x = 18,913.80 × 7,737.32
  4. Step 4: Simplify right side
    13,705.71x = 146,342,199.32
  5. Step 5: Solve for x
    x = 146,342,199.32/13,705.71
  6. Step 6: Final answer
    x = 10,677.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.