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Finding the Fourth Proportional to 10,596.65, 14,607.76 and 8,074.39

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Solution

The fourth proportional to 10,596.65, 14,607.76 and 8,074.39 is: 11,130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.65 : 14,607.76 = 8,074.39 : x
  2. Step 2: Convert to fraction form
    10,596.65/14,607.76 = 8,074.39/x
  3. Step 3: Cross multiply
    10,596.65x = 14,607.76 × 8,074.39
  4. Step 4: Simplify right side
    10,596.65x = 117,948,678.23
  5. Step 5: Solve for x
    x = 117,948,678.23/10,596.65
  6. Step 6: Final answer
    x = 11,130.75

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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.