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Finding the Fourth Proportional to 9,645.68, 14,384.02 and 9,558.08

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Solution

The fourth proportional to 9,645.68, 14,384.02 and 9,558.08 is: 14,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.68 : 14,384.02 = 9,558.08 : x
  2. Step 2: Convert to fraction form
    9,645.68/14,384.02 = 9,558.08/x
  3. Step 3: Cross multiply
    9,645.68x = 14,384.02 × 9,558.08
  4. Step 4: Simplify right side
    9,645.68x = 137,483,613.88
  5. Step 5: Solve for x
    x = 137,483,613.88/9,645.68
  6. Step 6: Final answer
    x = 14,253.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.