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Finding the Fourth Proportional to 4,594.92, 6,892.65 and 1,516.92

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Solution

The fourth proportional to 4,594.92, 6,892.65 and 1,516.92 is: 2,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.92 : 6,892.65 = 1,516.92 : x
  2. Step 2: Convert to fraction form
    4,594.92/6,892.65 = 1,516.92/x
  3. Step 3: Cross multiply
    4,594.92x = 6,892.65 × 1,516.92
  4. Step 4: Simplify right side
    4,594.92x = 10,455,598.64
  5. Step 5: Solve for x
    x = 10,455,598.64/4,594.92
  6. Step 6: Final answer
    x = 2,275.47

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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.