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Finding the Fourth Proportional to 9,584.50, 14,317.79 and 6,929.32

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Solution

The fourth proportional to 9,584.50, 14,317.79 and 6,929.32 is: 10,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.50 : 14,317.79 = 6,929.32 : x
  2. Step 2: Convert to fraction form
    9,584.50/14,317.79 = 6,929.32/x
  3. Step 3: Cross multiply
    9,584.50x = 14,317.79 × 6,929.32
  4. Step 4: Simplify right side
    9,584.50x = 99,212,548.60
  5. Step 5: Solve for x
    x = 99,212,548.60/9,584.50
  6. Step 6: Final answer
    x = 10,351.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.