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Finding the Fourth Proportional to 9,674.60, 13,352.22 and 5,483

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Solution

The fourth proportional to 9,674.60, 13,352.22 and 5,483 is: 7,567.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.60 : 13,352.22 = 5,483 : x
  2. Step 2: Convert to fraction form
    9,674.60/13,352.22 = 5,483/x
  3. Step 3: Cross multiply
    9,674.60x = 13,352.22 × 5,483
  4. Step 4: Simplify right side
    9,674.60x = 73,210,222.26
  5. Step 5: Solve for x
    x = 73,210,222.26/9,674.60
  6. Step 6: Final answer
    x = 7,567.26

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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.