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Finding the Fourth Proportional to 9,323.10, 13,980.92 and 4,057.74

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Solution

The fourth proportional to 9,323.10, 13,980.92 and 4,057.74 is: 6,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.10 : 13,980.92 = 4,057.74 : x
  2. Step 2: Convert to fraction form
    9,323.10/13,980.92 = 4,057.74/x
  3. Step 3: Cross multiply
    9,323.10x = 13,980.92 × 4,057.74
  4. Step 4: Simplify right side
    9,323.10x = 56,730,918.03
  5. Step 5: Solve for x
    x = 56,730,918.03/9,323.10
  6. Step 6: Final answer
    x = 6,084.98

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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.