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Finding the Fourth Proportional to 10,597.28, 15,898.16 and 3,201.28

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Solution

The fourth proportional to 10,597.28, 15,898.16 and 3,201.28 is: 4,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.28 : 15,898.16 = 3,201.28 : x
  2. Step 2: Convert to fraction form
    10,597.28/15,898.16 = 3,201.28/x
  3. Step 3: Cross multiply
    10,597.28x = 15,898.16 × 3,201.28
  4. Step 4: Simplify right side
    10,597.28x = 50,894,461.64
  5. Step 5: Solve for x
    x = 50,894,461.64/10,597.28
  6. Step 6: Final answer
    x = 4,802.60

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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.