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Finding the Fourth Proportional to 10,058.88, 13,876.80 and 7,076.64

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Solution

The fourth proportional to 10,058.88, 13,876.80 and 7,076.64 is: 9,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.88 : 13,876.80 = 7,076.64 : x
  2. Step 2: Convert to fraction form
    10,058.88/13,876.80 = 7,076.64/x
  3. Step 3: Cross multiply
    10,058.88x = 13,876.80 × 7,076.64
  4. Step 4: Simplify right side
    10,058.88x = 98,201,117.95
  5. Step 5: Solve for x
    x = 98,201,117.95/10,058.88
  6. Step 6: Final answer
    x = 9,762.63

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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.