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Finding the Fourth Proportional to 6,497.58, 8,969.64 and 4,142.94

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Solution

The fourth proportional to 6,497.58, 8,969.64 and 4,142.94 is: 5,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.58 : 8,969.64 = 4,142.94 : x
  2. Step 2: Convert to fraction form
    6,497.58/8,969.64 = 4,142.94/x
  3. Step 3: Cross multiply
    6,497.58x = 8,969.64 × 4,142.94
  4. Step 4: Simplify right side
    6,497.58x = 37,160,680.34
  5. Step 5: Solve for x
    x = 37,160,680.34/6,497.58
  6. Step 6: Final answer
    x = 5,719.16

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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.