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Finding the Fourth Proportional to 9,931.37, 14,956.47 and 9,045.63

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Solution

The fourth proportional to 9,931.37, 14,956.47 and 9,045.63 is: 13,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.37 : 14,956.47 = 9,045.63 : x
  2. Step 2: Convert to fraction form
    9,931.37/14,956.47 = 9,045.63/x
  3. Step 3: Cross multiply
    9,931.37x = 14,956.47 × 9,045.63
  4. Step 4: Simplify right side
    9,931.37x = 135,290,693.73
  5. Step 5: Solve for x
    x = 135,290,693.73/9,931.37
  6. Step 6: Final answer
    x = 13,622.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.