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Finding the Fourth Proportional to 12,820.40, 19,230.60 and 6,259.40

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Solution

The fourth proportional to 12,820.40, 19,230.60 and 6,259.40 is: 9,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.40 : 19,230.60 = 6,259.40 : x
  2. Step 2: Convert to fraction form
    12,820.40/19,230.60 = 6,259.40/x
  3. Step 3: Cross multiply
    12,820.40x = 19,230.60 × 6,259.40
  4. Step 4: Simplify right side
    12,820.40x = 120,372,017.64
  5. Step 5: Solve for x
    x = 120,372,017.64/12,820.40
  6. Step 6: Final answer
    x = 9,389.10

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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.