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Finding the Fourth Proportional to 30,602.14, 45,903.22 and 9,840.22

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Solution

The fourth proportional to 30,602.14, 45,903.22 and 9,840.22 is: 14,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.14 : 45,903.22 = 9,840.22 : x
  2. Step 2: Convert to fraction form
    30,602.14/45,903.22 = 9,840.22/x
  3. Step 3: Cross multiply
    30,602.14x = 45,903.22 × 9,840.22
  4. Step 4: Simplify right side
    30,602.14x = 451,697,783.51
  5. Step 5: Solve for x
    x = 451,697,783.51/30,602.14
  6. Step 6: Final answer
    x = 14,760.33

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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.