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Finding the Fourth Proportional to 10,558.75, 14,564.71 and 6,973.73

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Solution

The fourth proportional to 10,558.75, 14,564.71 and 6,973.73 is: 9,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.75 : 14,564.71 = 6,973.73 : x
  2. Step 2: Convert to fraction form
    10,558.75/14,564.71 = 6,973.73/x
  3. Step 3: Cross multiply
    10,558.75x = 14,564.71 × 6,973.73
  4. Step 4: Simplify right side
    10,558.75x = 101,570,355.07
  5. Step 5: Solve for x
    x = 101,570,355.07/10,558.75
  6. Step 6: Final answer
    x = 9,619.54

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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.