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Finding the Fourth Proportional to 17,105.60, 25,658.40 and 9,732.80

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Solution

The fourth proportional to 17,105.60, 25,658.40 and 9,732.80 is: 14,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,105.60 : 25,658.40 = 9,732.80 : x
  2. Step 2: Convert to fraction form
    17,105.60/25,658.40 = 9,732.80/x
  3. Step 3: Cross multiply
    17,105.60x = 25,658.40 × 9,732.80
  4. Step 4: Simplify right side
    17,105.60x = 249,728,075.52
  5. Step 5: Solve for x
    x = 249,728,075.52/17,105.60
  6. Step 6: Final answer
    x = 14,599.20

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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.