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Finding the Fourth Proportional to 9,775.60, 13,474.60 and 7,647.52

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Solution

The fourth proportional to 9,775.60, 13,474.60 and 7,647.52 is: 10,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.60 : 13,474.60 = 7,647.52 : x
  2. Step 2: Convert to fraction form
    9,775.60/13,474.60 = 7,647.52/x
  3. Step 3: Cross multiply
    9,775.60x = 13,474.60 × 7,647.52
  4. Step 4: Simplify right side
    9,775.60x = 103,047,272.99
  5. Step 5: Solve for x
    x = 103,047,272.99/9,775.60
  6. Step 6: Final answer
    x = 10,541.27

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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.