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Finding the Fourth Proportional to 9,615.84, 13,263.12 and 6,072.90

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Solution

The fourth proportional to 9,615.84, 13,263.12 and 6,072.90 is: 8,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.84 : 13,263.12 = 6,072.90 : x
  2. Step 2: Convert to fraction form
    9,615.84/13,263.12 = 6,072.90/x
  3. Step 3: Cross multiply
    9,615.84x = 13,263.12 × 6,072.90
  4. Step 4: Simplify right side
    9,615.84x = 80,545,601.45
  5. Step 5: Solve for x
    x = 80,545,601.45/9,615.84
  6. Step 6: Final answer
    x = 8,376.35

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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.