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Finding the Fourth Proportional to 7,304.70, 10,966.47 and 6,271.35

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Solution

The fourth proportional to 7,304.70, 10,966.47 and 6,271.35 is: 9,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.70 : 10,966.47 = 6,271.35 : x
  2. Step 2: Convert to fraction form
    7,304.70/10,966.47 = 6,271.35/x
  3. Step 3: Cross multiply
    7,304.70x = 10,966.47 × 6,271.35
  4. Step 4: Simplify right side
    7,304.70x = 68,774,571.63
  5. Step 5: Solve for x
    x = 68,774,571.63/7,304.70
  6. Step 6: Final answer
    x = 9,415.11

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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.