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Finding the Fourth Proportional to 15,678.57, 21,646.68 and 9,719.01

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Solution

The fourth proportional to 15,678.57, 21,646.68 and 9,719.01 is: 13,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.57 : 21,646.68 = 9,719.01 : x
  2. Step 2: Convert to fraction form
    15,678.57/21,646.68 = 9,719.01/x
  3. Step 3: Cross multiply
    15,678.57x = 21,646.68 × 9,719.01
  4. Step 4: Simplify right side
    15,678.57x = 210,384,299.39
  5. Step 5: Solve for x
    x = 210,384,299.39/15,678.57
  6. Step 6: Final answer
    x = 13,418.59

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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.