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Finding the Fourth Proportional to 10,692.75, 14,762.48 and 6,973.23

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Solution

The fourth proportional to 10,692.75, 14,762.48 and 6,973.23 is: 9,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.75 : 14,762.48 = 6,973.23 : x
  2. Step 2: Convert to fraction form
    10,692.75/14,762.48 = 6,973.23/x
  3. Step 3: Cross multiply
    10,692.75x = 14,762.48 × 6,973.23
  4. Step 4: Simplify right side
    10,692.75x = 102,942,133.54
  5. Step 5: Solve for x
    x = 102,942,133.54/10,692.75
  6. Step 6: Final answer
    x = 9,627.28

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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.