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Finding the Fourth Proportional to 6,596.34, 9,894.45 and 2,897.64

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Solution

The fourth proportional to 6,596.34, 9,894.45 and 2,897.64 is: 4,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.34 : 9,894.45 = 2,897.64 : x
  2. Step 2: Convert to fraction form
    6,596.34/9,894.45 = 2,897.64/x
  3. Step 3: Cross multiply
    6,596.34x = 9,894.45 × 2,897.64
  4. Step 4: Simplify right side
    6,596.34x = 28,670,554.10
  5. Step 5: Solve for x
    x = 28,670,554.10/6,596.34
  6. Step 6: Final answer
    x = 4,346.43

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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.