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Finding the Fourth Proportional to 6,543.72, 9,798.30 and 5,005.80

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Solution

The fourth proportional to 6,543.72, 9,798.30 and 5,005.80 is: 7,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.72 : 9,798.30 = 5,005.80 : x
  2. Step 2: Convert to fraction form
    6,543.72/9,798.30 = 5,005.80/x
  3. Step 3: Cross multiply
    6,543.72x = 9,798.30 × 5,005.80
  4. Step 4: Simplify right side
    6,543.72x = 49,048,330.14
  5. Step 5: Solve for x
    x = 49,048,330.14/6,543.72
  6. Step 6: Final answer
    x = 7,495.48

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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.