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Finding the Fourth Proportional to 30,497.60, 45,749.68 and 9,716.24

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Solution

The fourth proportional to 30,497.60, 45,749.68 and 9,716.24 is: 14,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.60 : 45,749.68 = 9,716.24 : x
  2. Step 2: Convert to fraction form
    30,497.60/45,749.68 = 9,716.24/x
  3. Step 3: Cross multiply
    30,497.60x = 45,749.68 × 9,716.24
  4. Step 4: Simplify right side
    30,497.60x = 444,514,870.80
  5. Step 5: Solve for x
    x = 444,514,870.80/30,497.60
  6. Step 6: Final answer
    x = 14,575.40

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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.