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Finding the Fourth Proportional to 7,038.46, 9,712.26 and 3,894.46

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Solution

The fourth proportional to 7,038.46, 9,712.26 and 3,894.46 is: 5,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.46 : 9,712.26 = 3,894.46 : x
  2. Step 2: Convert to fraction form
    7,038.46/9,712.26 = 3,894.46/x
  3. Step 3: Cross multiply
    7,038.46x = 9,712.26 × 3,894.46
  4. Step 4: Simplify right side
    7,038.46x = 37,824,008.08
  5. Step 5: Solve for x
    x = 37,824,008.08/7,038.46
  6. Step 6: Final answer
    x = 5,373.90

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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.