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Finding the Fourth Proportional to 7,038.66, 9,713.25 and 3,894.78

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Solution

The fourth proportional to 7,038.66, 9,713.25 and 3,894.78 is: 5,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.66 : 9,713.25 = 3,894.78 : x
  2. Step 2: Convert to fraction form
    7,038.66/9,713.25 = 3,894.78/x
  3. Step 3: Cross multiply
    7,038.66x = 9,713.25 × 3,894.78
  4. Step 4: Simplify right side
    7,038.66x = 37,830,971.84
  5. Step 5: Solve for x
    x = 37,830,971.84/7,038.66
  6. Step 6: Final answer
    x = 5,374.74

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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.