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Finding the Fourth Proportional to 4,095.84, 6,143.80 and 1,017.84

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Solution

The fourth proportional to 4,095.84, 6,143.80 and 1,017.84 is: 1,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.84 : 6,143.80 = 1,017.84 : x
  2. Step 2: Convert to fraction form
    4,095.84/6,143.80 = 1,017.84/x
  3. Step 3: Cross multiply
    4,095.84x = 6,143.80 × 1,017.84
  4. Step 4: Simplify right side
    4,095.84x = 6,253,405.39
  5. Step 5: Solve for x
    x = 6,253,405.39/4,095.84
  6. Step 6: Final answer
    x = 1,526.77

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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.