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Finding the Fourth Proportional to 10,133.51, 13,980.22 and 6,770.99

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Solution

The fourth proportional to 10,133.51, 13,980.22 and 6,770.99 is: 9,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.51 : 13,980.22 = 6,770.99 : x
  2. Step 2: Convert to fraction form
    10,133.51/13,980.22 = 6,770.99/x
  3. Step 3: Cross multiply
    10,133.51x = 13,980.22 × 6,770.99
  4. Step 4: Simplify right side
    10,133.51x = 94,659,930.91
  5. Step 5: Solve for x
    x = 94,659,930.91/10,133.51
  6. Step 6: Final answer
    x = 9,341.28

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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.