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Finding the Fourth Proportional to 6,955.63, 10,415.16 and 5,842.31

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Solution

The fourth proportional to 6,955.63, 10,415.16 and 5,842.31 is: 8,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.63 : 10,415.16 = 5,842.31 : x
  2. Step 2: Convert to fraction form
    6,955.63/10,415.16 = 5,842.31/x
  3. Step 3: Cross multiply
    6,955.63x = 10,415.16 × 5,842.31
  4. Step 4: Simplify right side
    6,955.63x = 60,848,580.01
  5. Step 5: Solve for x
    x = 60,848,580.01/6,955.63
  6. Step 6: Final answer
    x = 8,748.11

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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.