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Finding the Fourth Proportional to 10,649.97, 14,692.64 and 7,066.62

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Solution

The fourth proportional to 10,649.97, 14,692.64 and 7,066.62 is: 9,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.97 : 14,692.64 = 7,066.62 : x
  2. Step 2: Convert to fraction form
    10,649.97/14,692.64 = 7,066.62/x
  3. Step 3: Cross multiply
    10,649.97x = 14,692.64 × 7,066.62
  4. Step 4: Simplify right side
    10,649.97x = 103,827,268.34
  5. Step 5: Solve for x
    x = 103,827,268.34/10,649.97
  6. Step 6: Final answer
    x = 9,749.07

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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.