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Finding the Fourth Proportional to 9,702.08, 14,533.96 and 7,611.68

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Solution

The fourth proportional to 9,702.08, 14,533.96 and 7,611.68 is: 11,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.08 : 14,533.96 = 7,611.68 : x
  2. Step 2: Convert to fraction form
    9,702.08/14,533.96 = 7,611.68/x
  3. Step 3: Cross multiply
    9,702.08x = 14,533.96 × 7,611.68
  4. Step 4: Simplify right side
    9,702.08x = 110,627,852.65
  5. Step 5: Solve for x
    x = 110,627,852.65/9,702.08
  6. Step 6: Final answer
    x = 11,402.49

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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.