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Finding the Fourth Proportional to 23,638.64, 35,454.08 and 9,598.10

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Solution

The fourth proportional to 23,638.64, 35,454.08 and 9,598.10 is: 14,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.64 : 35,454.08 = 9,598.10 : x
  2. Step 2: Convert to fraction form
    23,638.64/35,454.08 = 9,598.10/x
  3. Step 3: Cross multiply
    23,638.64x = 35,454.08 × 9,598.10
  4. Step 4: Simplify right side
    23,638.64x = 340,291,579.99
  5. Step 5: Solve for x
    x = 340,291,579.99/23,638.64
  6. Step 6: Final answer
    x = 14,395.57

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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.