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Finding the Fourth Proportional to 6,973.40, 9,622.86 and 6,416.12

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Solution

The fourth proportional to 6,973.40, 9,622.86 and 6,416.12 is: 8,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.40 : 9,622.86 = 6,416.12 : x
  2. Step 2: Convert to fraction form
    6,973.40/9,622.86 = 6,416.12/x
  3. Step 3: Cross multiply
    6,973.40x = 9,622.86 × 6,416.12
  4. Step 4: Simplify right side
    6,973.40x = 61,741,424.50
  5. Step 5: Solve for x
    x = 61,741,424.50/6,973.40
  6. Step 6: Final answer
    x = 8,853.85

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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.