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Finding the Fourth Proportional to 9,589.12, 13,219.44 and 9,457.60

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Solution

The fourth proportional to 9,589.12, 13,219.44 and 9,457.60 is: 13,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.12 : 13,219.44 = 9,457.60 : x
  2. Step 2: Convert to fraction form
    9,589.12/13,219.44 = 9,457.60/x
  3. Step 3: Cross multiply
    9,589.12x = 13,219.44 × 9,457.60
  4. Step 4: Simplify right side
    9,589.12x = 125,024,175.74
  5. Step 5: Solve for x
    x = 125,024,175.74/9,589.12
  6. Step 6: Final answer
    x = 13,038.13

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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.