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Finding the Fourth Proportional to 4,597.71, 6,893.59 and 1,966.93

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Solution

The fourth proportional to 4,597.71, 6,893.59 and 1,966.93 is: 2,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.71 : 6,893.59 = 1,966.93 : x
  2. Step 2: Convert to fraction form
    4,597.71/6,893.59 = 1,966.93/x
  3. Step 3: Cross multiply
    4,597.71x = 6,893.59 × 1,966.93
  4. Step 4: Simplify right side
    4,597.71x = 13,559,184.97
  5. Step 5: Solve for x
    x = 13,559,184.97/4,597.71
  6. Step 6: Final answer
    x = 2,949.12

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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.