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Finding the Fourth Proportional to 9,855.63, 14,783.76 and 4,306.14

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Solution

The fourth proportional to 9,855.63, 14,783.76 and 4,306.14 is: 6,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.63 : 14,783.76 = 4,306.14 : x
  2. Step 2: Convert to fraction form
    9,855.63/14,783.76 = 4,306.14/x
  3. Step 3: Cross multiply
    9,855.63x = 14,783.76 × 4,306.14
  4. Step 4: Simplify right side
    9,855.63x = 63,660,940.29
  5. Step 5: Solve for x
    x = 63,660,940.29/9,855.63
  6. Step 6: Final answer
    x = 6,459.35

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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.