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Finding the Fourth Proportional to 9,702.59, 14,552.46 and 4,770.90

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Solution

The fourth proportional to 9,702.59, 14,552.46 and 4,770.90 is: 7,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.59 : 14,552.46 = 4,770.90 : x
  2. Step 2: Convert to fraction form
    9,702.59/14,552.46 = 4,770.90/x
  3. Step 3: Cross multiply
    9,702.59x = 14,552.46 × 4,770.90
  4. Step 4: Simplify right side
    9,702.59x = 69,428,331.41
  5. Step 5: Solve for x
    x = 69,428,331.41/9,702.59
  6. Step 6: Final answer
    x = 7,155.65

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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.