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Finding the Fourth Proportional to 6,903.04, 9,524.64 and 5,788.48

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Solution

The fourth proportional to 6,903.04, 9,524.64 and 5,788.48 is: 7,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.04 : 9,524.64 = 5,788.48 : x
  2. Step 2: Convert to fraction form
    6,903.04/9,524.64 = 5,788.48/x
  3. Step 3: Cross multiply
    6,903.04x = 9,524.64 × 5,788.48
  4. Step 4: Simplify right side
    6,903.04x = 55,133,188.15
  5. Step 5: Solve for x
    x = 55,133,188.15/6,903.04
  6. Step 6: Final answer
    x = 7,986.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.