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Finding the Fourth Proportional to 30,602.60, 45,903.90 and 9,828.20

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Solution

The fourth proportional to 30,602.60, 45,903.90 and 9,828.20 is: 14,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.60 : 45,903.90 = 9,828.20 : x
  2. Step 2: Convert to fraction form
    30,602.60/45,903.90 = 9,828.20/x
  3. Step 3: Cross multiply
    30,602.60x = 45,903.90 × 9,828.20
  4. Step 4: Simplify right side
    30,602.60x = 451,152,709.98
  5. Step 5: Solve for x
    x = 451,152,709.98/30,602.60
  6. Step 6: Final answer
    x = 14,742.30

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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.