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Finding the Fourth Proportional to 9,201, 13,779.54 and 5,297.22

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Solution

The fourth proportional to 9,201, 13,779.54 and 5,297.22 is: 7,933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201 : 13,779.54 = 5,297.22 : x
  2. Step 2: Convert to fraction form
    9,201/13,779.54 = 5,297.22/x
  3. Step 3: Cross multiply
    9,201x = 13,779.54 × 5,297.22
  4. Step 4: Simplify right side
    9,201x = 72,993,254.88
  5. Step 5: Solve for x
    x = 72,993,254.88/9,201
  6. Step 6: Final answer
    x = 7,933.19

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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.