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Finding the Fourth Proportional to 6,995.32, 9,654.78 and 4,201

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Solution

The fourth proportional to 6,995.32, 9,654.78 and 4,201 is: 5,798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.32 : 9,654.78 = 4,201 : x
  2. Step 2: Convert to fraction form
    6,995.32/9,654.78 = 4,201/x
  3. Step 3: Cross multiply
    6,995.32x = 9,654.78 × 4,201
  4. Step 4: Simplify right side
    6,995.32x = 40,559,730.78
  5. Step 5: Solve for x
    x = 40,559,730.78/6,995.32
  6. Step 6: Final answer
    x = 5,798.12

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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.