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Finding the Fourth Proportional to 9,683.34, 14,529.87 and 7,342.44

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Solution

The fourth proportional to 9,683.34, 14,529.87 and 7,342.44 is: 11,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.34 : 14,529.87 = 7,342.44 : x
  2. Step 2: Convert to fraction form
    9,683.34/14,529.87 = 7,342.44/x
  3. Step 3: Cross multiply
    9,683.34x = 14,529.87 × 7,342.44
  4. Step 4: Simplify right side
    9,683.34x = 106,684,698.68
  5. Step 5: Solve for x
    x = 106,684,698.68/9,683.34
  6. Step 6: Final answer
    x = 11,017.35

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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.