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Finding the Fourth Proportional to 9,926.96, 14,885.04 and 6,416.48

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Solution

The fourth proportional to 9,926.96, 14,885.04 and 6,416.48 is: 9,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.96 : 14,885.04 = 6,416.48 : x
  2. Step 2: Convert to fraction form
    9,926.96/14,885.04 = 6,416.48/x
  3. Step 3: Cross multiply
    9,926.96x = 14,885.04 × 6,416.48
  4. Step 4: Simplify right side
    9,926.96x = 95,509,561.46
  5. Step 5: Solve for x
    x = 95,509,561.46/9,926.96
  6. Step 6: Final answer
    x = 9,621.23

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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.