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Finding the Fourth Proportional to 6,501.46, 9,753 and 2,117.74

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Solution

The fourth proportional to 6,501.46, 9,753 and 2,117.74 is: 3,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.46 : 9,753 = 2,117.74 : x
  2. Step 2: Convert to fraction form
    6,501.46/9,753 = 2,117.74/x
  3. Step 3: Cross multiply
    6,501.46x = 9,753 × 2,117.74
  4. Step 4: Simplify right side
    6,501.46x = 20,654,318.22
  5. Step 5: Solve for x
    x = 20,654,318.22/6,501.46
  6. Step 6: Final answer
    x = 3,176.87

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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.