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Finding the Fourth Proportional to 9,628.16, 13,279.56 and 6,984.32

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Solution

The fourth proportional to 9,628.16, 13,279.56 and 6,984.32 is: 9,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.16 : 13,279.56 = 6,984.32 : x
  2. Step 2: Convert to fraction form
    9,628.16/13,279.56 = 6,984.32/x
  3. Step 3: Cross multiply
    9,628.16x = 13,279.56 × 6,984.32
  4. Step 4: Simplify right side
    9,628.16x = 92,748,696.50
  5. Step 5: Solve for x
    x = 92,748,696.50/9,628.16
  6. Step 6: Final answer
    x = 9,633.07

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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.