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Finding the Fourth Proportional to 7,746.94, 11,662.56 and 7,058.03

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Solution

The fourth proportional to 7,746.94, 11,662.56 and 7,058.03 is: 10,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.94 : 11,662.56 = 7,058.03 : x
  2. Step 2: Convert to fraction form
    7,746.94/11,662.56 = 7,058.03/x
  3. Step 3: Cross multiply
    7,746.94x = 11,662.56 × 7,058.03
  4. Step 4: Simplify right side
    7,746.94x = 82,314,714.28
  5. Step 5: Solve for x
    x = 82,314,714.28/7,746.94
  6. Step 6: Final answer
    x = 10,625.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.