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Finding the Fourth Proportional to 12,526.91, 18,794.29 and 7,534.74

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Solution

The fourth proportional to 12,526.91, 18,794.29 and 7,534.74 is: 11,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.91 : 18,794.29 = 7,534.74 : x
  2. Step 2: Convert to fraction form
    12,526.91/18,794.29 = 7,534.74/x
  3. Step 3: Cross multiply
    12,526.91x = 18,794.29 × 7,534.74
  4. Step 4: Simplify right side
    12,526.91x = 141,610,088.63
  5. Step 5: Solve for x
    x = 141,610,088.63/12,526.91
  6. Step 6: Final answer
    x = 11,304.47

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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.