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Finding the Fourth Proportional to 7,033.70, 10,543.05 and 3,516.77

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Solution

The fourth proportional to 7,033.70, 10,543.05 and 3,516.77 is: 5,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.70 : 10,543.05 = 3,516.77 : x
  2. Step 2: Convert to fraction form
    7,033.70/10,543.05 = 3,516.77/x
  3. Step 3: Cross multiply
    7,033.70x = 10,543.05 × 3,516.77
  4. Step 4: Simplify right side
    7,033.70x = 37,077,429.23
  5. Step 5: Solve for x
    x = 37,077,429.23/7,033.70
  6. Step 6: Final answer
    x = 5,271.40

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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.