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Finding the Fourth Proportional to 7,274.84, 10,038.78 and 4,088.22

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Solution

The fourth proportional to 7,274.84, 10,038.78 and 4,088.22 is: 5,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.84 : 10,038.78 = 4,088.22 : x
  2. Step 2: Convert to fraction form
    7,274.84/10,038.78 = 4,088.22/x
  3. Step 3: Cross multiply
    7,274.84x = 10,038.78 × 4,088.22
  4. Step 4: Simplify right side
    7,274.84x = 41,040,741.17
  5. Step 5: Solve for x
    x = 41,040,741.17/7,274.84
  6. Step 6: Final answer
    x = 5,641.46

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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.