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Finding the Fourth Proportional to 11,693.80, 17,543.07 and 4,298.32

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Solution

The fourth proportional to 11,693.80, 17,543.07 and 4,298.32 is: 6,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.80 : 17,543.07 = 4,298.32 : x
  2. Step 2: Convert to fraction form
    11,693.80/17,543.07 = 4,298.32/x
  3. Step 3: Cross multiply
    11,693.80x = 17,543.07 × 4,298.32
  4. Step 4: Simplify right side
    11,693.80x = 75,405,728.64
  5. Step 5: Solve for x
    x = 75,405,728.64/11,693.80
  6. Step 6: Final answer
    x = 6,448.35

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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.