Home / 9,702.24-13,387.20-6,164.40

Finding the Fourth Proportional to 9,702.24, 13,387.20 and 6,164.40

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Solution

The fourth proportional to 9,702.24, 13,387.20 and 6,164.40 is: 8,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.24 : 13,387.20 = 6,164.40 : x
  2. Step 2: Convert to fraction form
    9,702.24/13,387.20 = 6,164.40/x
  3. Step 3: Cross multiply
    9,702.24x = 13,387.20 × 6,164.40
  4. Step 4: Simplify right side
    9,702.24x = 82,524,055.68
  5. Step 5: Solve for x
    x = 82,524,055.68/9,702.24
  6. Step 6: Final answer
    x = 8,505.67

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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.