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Finding the Fourth Proportional to 9,549.94, 14,307.95 and 8,149.06

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Solution

The fourth proportional to 9,549.94, 14,307.95 and 8,149.06 is: 12,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.94 : 14,307.95 = 8,149.06 : x
  2. Step 2: Convert to fraction form
    9,549.94/14,307.95 = 8,149.06/x
  3. Step 3: Cross multiply
    9,549.94x = 14,307.95 × 8,149.06
  4. Step 4: Simplify right side
    9,549.94x = 116,596,343.03
  5. Step 5: Solve for x
    x = 116,596,343.03/9,549.94
  6. Step 6: Final answer
    x = 12,209.12

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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.