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Finding the Fourth Proportional to 17,497.60, 26,265.60 and 9,702.40

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Solution

The fourth proportional to 17,497.60, 26,265.60 and 9,702.40 is: 14,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497.60 : 26,265.60 = 9,702.40 : x
  2. Step 2: Convert to fraction form
    17,497.60/26,265.60 = 9,702.40/x
  3. Step 3: Cross multiply
    17,497.60x = 26,265.60 × 9,702.40
  4. Step 4: Simplify right side
    17,497.60x = 254,839,357.44
  5. Step 5: Solve for x
    x = 254,839,357.44/17,497.60
  6. Step 6: Final answer
    x = 14,564.25

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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.