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Finding the Fourth Proportional to 15,710.40, 21,678.57 and 8,636.40

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Solution

The fourth proportional to 15,710.40, 21,678.57 and 8,636.40 is: 11,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.40 : 21,678.57 = 8,636.40 : x
  2. Step 2: Convert to fraction form
    15,710.40/21,678.57 = 8,636.40/x
  3. Step 3: Cross multiply
    15,710.40x = 21,678.57 × 8,636.40
  4. Step 4: Simplify right side
    15,710.40x = 187,224,801.95
  5. Step 5: Solve for x
    x = 187,224,801.95/15,710.40
  6. Step 6: Final answer
    x = 11,917.25

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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.