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Finding the Fourth Proportional to 10,597.02, 15,897 and 3,200.64

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Solution

The fourth proportional to 10,597.02, 15,897 and 3,200.64 is: 4,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.02 : 15,897 = 3,200.64 : x
  2. Step 2: Convert to fraction form
    10,597.02/15,897 = 3,200.64/x
  3. Step 3: Cross multiply
    10,597.02x = 15,897 × 3,200.64
  4. Step 4: Simplify right side
    10,597.02x = 50,880,574.08
  5. Step 5: Solve for x
    x = 50,880,574.08/10,597.02
  6. Step 6: Final answer
    x = 4,801.40

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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.