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Finding the Fourth Proportional to 10,307.62, 14,224.86 and 6,058.62

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Solution

The fourth proportional to 10,307.62, 14,224.86 and 6,058.62 is: 8,361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.62 : 14,224.86 = 6,058.62 : x
  2. Step 2: Convert to fraction form
    10,307.62/14,224.86 = 6,058.62/x
  3. Step 3: Cross multiply
    10,307.62x = 14,224.86 × 6,058.62
  4. Step 4: Simplify right side
    10,307.62x = 86,182,967.95
  5. Step 5: Solve for x
    x = 86,182,967.95/10,307.62
  6. Step 6: Final answer
    x = 8,361.09

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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.