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Finding the Fourth Proportional to 6,497.83, 8,966.97 and 3,513.67

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Solution

The fourth proportional to 6,497.83, 8,966.97 and 3,513.67 is: 4,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.83 : 8,966.97 = 3,513.67 : x
  2. Step 2: Convert to fraction form
    6,497.83/8,966.97 = 3,513.67/x
  3. Step 3: Cross multiply
    6,497.83x = 8,966.97 × 3,513.67
  4. Step 4: Simplify right side
    6,497.83x = 31,506,955.91
  5. Step 5: Solve for x
    x = 31,506,955.91/6,497.83
  6. Step 6: Final answer
    x = 4,848.84

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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.