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Finding the Fourth Proportional to 7,034, 10,554.04 and 3,746.16

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Solution

The fourth proportional to 7,034, 10,554.04 and 3,746.16 is: 5,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034 : 10,554.04 = 3,746.16 : x
  2. Step 2: Convert to fraction form
    7,034/10,554.04 = 3,746.16/x
  3. Step 3: Cross multiply
    7,034x = 10,554.04 × 3,746.16
  4. Step 4: Simplify right side
    7,034x = 39,537,122.49
  5. Step 5: Solve for x
    x = 39,537,122.49/7,034
  6. Step 6: Final answer
    x = 5,620.86

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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.