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Finding the Fourth Proportional to 9,702.68, 14,538.24 and 6,784.28

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Solution

The fourth proportional to 9,702.68, 14,538.24 and 6,784.28 is: 10,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.68 : 14,538.24 = 6,784.28 : x
  2. Step 2: Convert to fraction form
    9,702.68/14,538.24 = 6,784.28/x
  3. Step 3: Cross multiply
    9,702.68x = 14,538.24 × 6,784.28
  4. Step 4: Simplify right side
    9,702.68x = 98,631,490.87
  5. Step 5: Solve for x
    x = 98,631,490.87/9,702.68
  6. Step 6: Final answer
    x = 10,165.39

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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.