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Finding the Fourth Proportional to 9,956.81, 13,738.19 and 5,762.63

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Solution

The fourth proportional to 9,956.81, 13,738.19 and 5,762.63 is: 7,951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.81 : 13,738.19 = 5,762.63 : x
  2. Step 2: Convert to fraction form
    9,956.81/13,738.19 = 5,762.63/x
  3. Step 3: Cross multiply
    9,956.81x = 13,738.19 × 5,762.63
  4. Step 4: Simplify right side
    9,956.81x = 79,168,008.34
  5. Step 5: Solve for x
    x = 79,168,008.34/9,956.81
  6. Step 6: Final answer
    x = 7,951.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.