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Finding the Fourth Proportional to 10,033.42, 13,845.06 and 5,557.06

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Solution

The fourth proportional to 10,033.42, 13,845.06 and 5,557.06 is: 7,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.42 : 13,845.06 = 5,557.06 : x
  2. Step 2: Convert to fraction form
    10,033.42/13,845.06 = 5,557.06/x
  3. Step 3: Cross multiply
    10,033.42x = 13,845.06 × 5,557.06
  4. Step 4: Simplify right side
    10,033.42x = 76,937,829.12
  5. Step 5: Solve for x
    x = 76,937,829.12/10,033.42
  6. Step 6: Final answer
    x = 7,668.16

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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.