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Finding the Fourth Proportional to 9,683.64, 14,530.32 and 7,223.40

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Solution

The fourth proportional to 9,683.64, 14,530.32 and 7,223.40 is: 10,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.64 : 14,530.32 = 7,223.40 : x
  2. Step 2: Convert to fraction form
    9,683.64/14,530.32 = 7,223.40/x
  3. Step 3: Cross multiply
    9,683.64x = 14,530.32 × 7,223.40
  4. Step 4: Simplify right side
    9,683.64x = 104,958,313.49
  5. Step 5: Solve for x
    x = 104,958,313.49/9,683.64
  6. Step 6: Final answer
    x = 10,838.73

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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.