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Finding the Fourth Proportional to 9,851.70, 13,596.16 and 5,604.10

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Solution

The fourth proportional to 9,851.70, 13,596.16 and 5,604.10 is: 7,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.70 : 13,596.16 = 5,604.10 : x
  2. Step 2: Convert to fraction form
    9,851.70/13,596.16 = 5,604.10/x
  3. Step 3: Cross multiply
    9,851.70x = 13,596.16 × 5,604.10
  4. Step 4: Simplify right side
    9,851.70x = 76,194,240.26
  5. Step 5: Solve for x
    x = 76,194,240.26/9,851.70
  6. Step 6: Final answer
    x = 7,734.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.