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Finding the Fourth Proportional to 6,309, 9,459.90 and 1,924.92

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Solution

The fourth proportional to 6,309, 9,459.90 and 1,924.92 is: 2,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309 : 9,459.90 = 1,924.92 : x
  2. Step 2: Convert to fraction form
    6,309/9,459.90 = 1,924.92/x
  3. Step 3: Cross multiply
    6,309x = 9,459.90 × 1,924.92
  4. Step 4: Simplify right side
    6,309x = 18,209,550.71
  5. Step 5: Solve for x
    x = 18,209,550.71/6,309
  6. Step 6: Final answer
    x = 2,886.28

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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.