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Finding the Fourth Proportional to 12,595.71, 17,383.21 and 6,931.56

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Solution

The fourth proportional to 12,595.71, 17,383.21 and 6,931.56 is: 9,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.71 : 17,383.21 = 6,931.56 : x
  2. Step 2: Convert to fraction form
    12,595.71/17,383.21 = 6,931.56/x
  3. Step 3: Cross multiply
    12,595.71x = 17,383.21 × 6,931.56
  4. Step 4: Simplify right side
    12,595.71x = 120,492,763.11
  5. Step 5: Solve for x
    x = 120,492,763.11/12,595.71
  6. Step 6: Final answer
    x = 9,566.17

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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.