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Finding the Fourth Proportional to 4,713.14, 7,068.02 and 1,592.48

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Solution

The fourth proportional to 4,713.14, 7,068.02 and 1,592.48 is: 2,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.14 : 7,068.02 = 1,592.48 : x
  2. Step 2: Convert to fraction form
    4,713.14/7,068.02 = 1,592.48/x
  3. Step 3: Cross multiply
    4,713.14x = 7,068.02 × 1,592.48
  4. Step 4: Simplify right side
    4,713.14x = 11,255,637.19
  5. Step 5: Solve for x
    x = 11,255,637.19/4,713.14
  6. Step 6: Final answer
    x = 2,388.14

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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.