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Finding the Fourth Proportional to 9,038.71, 13,534.48 and 7,274.07

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Solution

The fourth proportional to 9,038.71, 13,534.48 and 7,274.07 is: 10,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.71 : 13,534.48 = 7,274.07 : x
  2. Step 2: Convert to fraction form
    9,038.71/13,534.48 = 7,274.07/x
  3. Step 3: Cross multiply
    9,038.71x = 13,534.48 × 7,274.07
  4. Step 4: Simplify right side
    9,038.71x = 98,450,753.80
  5. Step 5: Solve for x
    x = 98,450,753.80/9,038.71
  6. Step 6: Final answer
    x = 10,892.13

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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.