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Finding the Fourth Proportional to 6,646.74, 9,970.01 and 1,715.97

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Solution

The fourth proportional to 6,646.74, 9,970.01 and 1,715.97 is: 2,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.74 : 9,970.01 = 1,715.97 : x
  2. Step 2: Convert to fraction form
    6,646.74/9,970.01 = 1,715.97/x
  3. Step 3: Cross multiply
    6,646.74x = 9,970.01 × 1,715.97
  4. Step 4: Simplify right side
    6,646.74x = 17,108,229.48
  5. Step 5: Solve for x
    x = 17,108,229.48/6,646.74
  6. Step 6: Final answer
    x = 2,573.93

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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.