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Finding the Fourth Proportional to 4,653.74, 6,980.07 and 1,731.71

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Solution

The fourth proportional to 4,653.74, 6,980.07 and 1,731.71 is: 2,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.74 : 6,980.07 = 1,731.71 : x
  2. Step 2: Convert to fraction form
    4,653.74/6,980.07 = 1,731.71/x
  3. Step 3: Cross multiply
    4,653.74x = 6,980.07 × 1,731.71
  4. Step 4: Simplify right side
    4,653.74x = 12,087,457.02
  5. Step 5: Solve for x
    x = 12,087,457.02/4,653.74
  6. Step 6: Final answer
    x = 2,597.36

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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.