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Finding the Fourth Proportional to 10,603, 14,633.93 and 6,129.33

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Solution

The fourth proportional to 10,603, 14,633.93 and 6,129.33 is: 8,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603 : 14,633.93 = 6,129.33 : x
  2. Step 2: Convert to fraction form
    10,603/14,633.93 = 6,129.33/x
  3. Step 3: Cross multiply
    10,603x = 14,633.93 × 6,129.33
  4. Step 4: Simplify right side
    10,603x = 89,696,186.17
  5. Step 5: Solve for x
    x = 89,696,186.17/10,603
  6. Step 6: Final answer
    x = 8,459.51

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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.