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Finding the Fourth Proportional to 9,847.70, 13,590.64 and 5,600.10

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Solution

The fourth proportional to 9,847.70, 13,590.64 and 5,600.10 is: 7,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.70 : 13,590.64 = 5,600.10 : x
  2. Step 2: Convert to fraction form
    9,847.70/13,590.64 = 5,600.10/x
  3. Step 3: Cross multiply
    9,847.70x = 13,590.64 × 5,600.10
  4. Step 4: Simplify right side
    9,847.70x = 76,108,943.06
  5. Step 5: Solve for x
    x = 76,108,943.06/9,847.70
  6. Step 6: Final answer
    x = 7,728.60

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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.