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Finding the Fourth Proportional to 30,491.16, 45,737.70 and 9,730.20

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Solution

The fourth proportional to 30,491.16, 45,737.70 and 9,730.20 is: 14,595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491.16 : 45,737.70 = 9,730.20 : x
  2. Step 2: Convert to fraction form
    30,491.16/45,737.70 = 9,730.20/x
  3. Step 3: Cross multiply
    30,491.16x = 45,737.70 × 9,730.20
  4. Step 4: Simplify right side
    30,491.16x = 445,036,968.54
  5. Step 5: Solve for x
    x = 445,036,968.54/30,491.16
  6. Step 6: Final answer
    x = 14,595.61

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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.