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Finding the Fourth Proportional to 5,134.16, 7,693.02 and 4,642.08

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Solution

The fourth proportional to 5,134.16, 7,693.02 and 4,642.08 is: 6,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.16 : 7,693.02 = 4,642.08 : x
  2. Step 2: Convert to fraction form
    5,134.16/7,693.02 = 4,642.08/x
  3. Step 3: Cross multiply
    5,134.16x = 7,693.02 × 4,642.08
  4. Step 4: Simplify right side
    5,134.16x = 35,711,614.28
  5. Step 5: Solve for x
    x = 35,711,614.28/5,134.16
  6. Step 6: Final answer
    x = 6,955.69

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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.