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Finding the Fourth Proportional to 4,310.07, 6,465.14 and 1,713.02

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Solution

The fourth proportional to 4,310.07, 6,465.14 and 1,713.02 is: 2,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.07 : 6,465.14 = 1,713.02 : x
  2. Step 2: Convert to fraction form
    4,310.07/6,465.14 = 1,713.02/x
  3. Step 3: Cross multiply
    4,310.07x = 6,465.14 × 1,713.02
  4. Step 4: Simplify right side
    4,310.07x = 11,074,873.23
  5. Step 5: Solve for x
    x = 11,074,873.23/4,310.07
  6. Step 6: Final answer
    x = 2,569.53

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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.