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Finding the Fourth Proportional to 10,605.51, 14,625.36 and 7,018.83

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Solution

The fourth proportional to 10,605.51, 14,625.36 and 7,018.83 is: 9,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.51 : 14,625.36 = 7,018.83 : x
  2. Step 2: Convert to fraction form
    10,605.51/14,625.36 = 7,018.83/x
  3. Step 3: Cross multiply
    10,605.51x = 14,625.36 × 7,018.83
  4. Step 4: Simplify right side
    10,605.51x = 102,652,915.53
  5. Step 5: Solve for x
    x = 102,652,915.53/10,605.51
  6. Step 6: Final answer
    x = 9,679.21

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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.