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Finding the Fourth Proportional to 12,842.60, 19,259.10 and 8,935.40

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Solution

The fourth proportional to 12,842.60, 19,259.10 and 8,935.40 is: 13,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.60 : 19,259.10 = 8,935.40 : x
  2. Step 2: Convert to fraction form
    12,842.60/19,259.10 = 8,935.40/x
  3. Step 3: Cross multiply
    12,842.60x = 19,259.10 × 8,935.40
  4. Step 4: Simplify right side
    12,842.60x = 172,087,762.14
  5. Step 5: Solve for x
    x = 172,087,762.14/12,842.60
  6. Step 6: Final answer
    x = 13,399.76

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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.