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Finding the Fourth Proportional to 11,477.74, 15,840.42 and 7,004.49

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Solution

The fourth proportional to 11,477.74, 15,840.42 and 7,004.49 is: 9,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.74 : 15,840.42 = 7,004.49 : x
  2. Step 2: Convert to fraction form
    11,477.74/15,840.42 = 7,004.49/x
  3. Step 3: Cross multiply
    11,477.74x = 15,840.42 × 7,004.49
  4. Step 4: Simplify right side
    11,477.74x = 110,954,063.49
  5. Step 5: Solve for x
    x = 110,954,063.49/11,477.74
  6. Step 6: Final answer
    x = 9,666.89

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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.