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Finding the Fourth Proportional to 7,109.64, 9,810.16 and 4,276.32

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Solution

The fourth proportional to 7,109.64, 9,810.16 and 4,276.32 is: 5,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.64 : 9,810.16 = 4,276.32 : x
  2. Step 2: Convert to fraction form
    7,109.64/9,810.16 = 4,276.32/x
  3. Step 3: Cross multiply
    7,109.64x = 9,810.16 × 4,276.32
  4. Step 4: Simplify right side
    7,109.64x = 41,951,383.41
  5. Step 5: Solve for x
    x = 41,951,383.41/7,109.64
  6. Step 6: Final answer
    x = 5,900.63

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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.