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Finding the Fourth Proportional to 30,566.41, 45,856.21 and 9,506.03

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Solution

The fourth proportional to 30,566.41, 45,856.21 and 9,506.03 is: 14,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.41 : 45,856.21 = 9,506.03 : x
  2. Step 2: Convert to fraction form
    30,566.41/45,856.21 = 9,506.03/x
  3. Step 3: Cross multiply
    30,566.41x = 45,856.21 × 9,506.03
  4. Step 4: Simplify right side
    30,566.41x = 435,910,598.82
  5. Step 5: Solve for x
    x = 435,910,598.82/30,566.41
  6. Step 6: Final answer
    x = 14,261.10

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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.