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Finding the Fourth Proportional to 9,597.30, 14,394.87 and 7,135.80

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Solution

The fourth proportional to 9,597.30, 14,394.87 and 7,135.80 is: 10,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.30 : 14,394.87 = 7,135.80 : x
  2. Step 2: Convert to fraction form
    9,597.30/14,394.87 = 7,135.80/x
  3. Step 3: Cross multiply
    9,597.30x = 14,394.87 × 7,135.80
  4. Step 4: Simplify right side
    9,597.30x = 102,718,913.35
  5. Step 5: Solve for x
    x = 102,718,913.35/9,597.30
  6. Step 6: Final answer
    x = 10,702.90

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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.