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Finding the Fourth Proportional to 6,482.70, 9,702.45 and 5,705.10

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Solution

The fourth proportional to 6,482.70, 9,702.45 and 5,705.10 is: 8,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.70 : 9,702.45 = 5,705.10 : x
  2. Step 2: Convert to fraction form
    6,482.70/9,702.45 = 5,705.10/x
  3. Step 3: Cross multiply
    6,482.70x = 9,702.45 × 5,705.10
  4. Step 4: Simplify right side
    6,482.70x = 55,353,447.50
  5. Step 5: Solve for x
    x = 55,353,447.50/6,482.70
  6. Step 6: Final answer
    x = 8,538.64

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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.