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Finding the Fourth Proportional to 6,355.80, 9,506.70 and 5,702.40

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Solution

The fourth proportional to 6,355.80, 9,506.70 and 5,702.40 is: 8,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.80 : 9,506.70 = 5,702.40 : x
  2. Step 2: Convert to fraction form
    6,355.80/9,506.70 = 5,702.40/x
  3. Step 3: Cross multiply
    6,355.80x = 9,506.70 × 5,702.40
  4. Step 4: Simplify right side
    6,355.80x = 54,211,006.08
  5. Step 5: Solve for x
    x = 54,211,006.08/6,355.80
  6. Step 6: Final answer
    x = 8,529.38

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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.