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Finding the Fourth Proportional to 35,998.98, 53,998.32 and 9,706.38

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Solution

The fourth proportional to 35,998.98, 53,998.32 and 9,706.38 is: 14,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,998.98 : 53,998.32 = 9,706.38 : x
  2. Step 2: Convert to fraction form
    35,998.98/53,998.32 = 9,706.38/x
  3. Step 3: Cross multiply
    35,998.98x = 53,998.32 × 9,706.38
  4. Step 4: Simplify right side
    35,998.98x = 524,128,213.28
  5. Step 5: Solve for x
    x = 524,128,213.28/35,998.98
  6. Step 6: Final answer
    x = 14,559.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.