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Finding the Fourth Proportional to 6,497.93, 9,702.58 and 5,166.70

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Solution

The fourth proportional to 6,497.93, 9,702.58 and 5,166.70 is: 7,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.93 : 9,702.58 = 5,166.70 : x
  2. Step 2: Convert to fraction form
    6,497.93/9,702.58 = 5,166.70/x
  3. Step 3: Cross multiply
    6,497.93x = 9,702.58 × 5,166.70
  4. Step 4: Simplify right side
    6,497.93x = 50,130,271.57
  5. Step 5: Solve for x
    x = 50,130,271.57/6,497.93
  6. Step 6: Final answer
    x = 7,714.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.