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Finding the Fourth Proportional to 10,762.34, 16,126.47 and 8,303.18

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Solution

The fourth proportional to 10,762.34, 16,126.47 and 8,303.18 is: 12,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.34 : 16,126.47 = 8,303.18 : x
  2. Step 2: Convert to fraction form
    10,762.34/16,126.47 = 8,303.18/x
  3. Step 3: Cross multiply
    10,762.34x = 16,126.47 × 8,303.18
  4. Step 4: Simplify right side
    10,762.34x = 133,900,902.54
  5. Step 5: Solve for x
    x = 133,900,902.54/10,762.34
  6. Step 6: Final answer
    x = 12,441.62

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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.