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Finding the Fourth Proportional to 6,273.46, 9,397.43 and 5,034.16

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Solution

The fourth proportional to 6,273.46, 9,397.43 and 5,034.16 is: 7,541.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.46 : 9,397.43 = 5,034.16 : x
  2. Step 2: Convert to fraction form
    6,273.46/9,397.43 = 5,034.16/x
  3. Step 3: Cross multiply
    6,273.46x = 9,397.43 × 5,034.16
  4. Step 4: Simplify right side
    6,273.46x = 47,308,166.21
  5. Step 5: Solve for x
    x = 47,308,166.21/6,273.46
  6. Step 6: Final answer
    x = 7,541.00

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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.