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Finding the Fourth Proportional to 6,316.96, 9,474.80 and 1,699.68

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Solution

The fourth proportional to 6,316.96, 9,474.80 and 1,699.68 is: 2,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.96 : 9,474.80 = 1,699.68 : x
  2. Step 2: Convert to fraction form
    6,316.96/9,474.80 = 1,699.68/x
  3. Step 3: Cross multiply
    6,316.96x = 9,474.80 × 1,699.68
  4. Step 4: Simplify right side
    6,316.96x = 16,104,128.06
  5. Step 5: Solve for x
    x = 16,104,128.06/6,316.96
  6. Step 6: Final answer
    x = 2,549.35

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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.