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Finding the Fourth Proportional to 14,596.16, 21,875.78 and 9,329.14

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Solution

The fourth proportional to 14,596.16, 21,875.78 and 9,329.14 is: 13,981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.16 : 21,875.78 = 9,329.14 : x
  2. Step 2: Convert to fraction form
    14,596.16/21,875.78 = 9,329.14/x
  3. Step 3: Cross multiply
    14,596.16x = 21,875.78 × 9,329.14
  4. Step 4: Simplify right side
    14,596.16x = 204,082,214.23
  5. Step 5: Solve for x
    x = 204,082,214.23/14,596.16
  6. Step 6: Final answer
    x = 13,981.91

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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.