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Finding the Fourth Proportional to 10,699.84, 14,765.64 and 5,984.08

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Solution

The fourth proportional to 10,699.84, 14,765.64 and 5,984.08 is: 8,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.84 : 14,765.64 = 5,984.08 : x
  2. Step 2: Convert to fraction form
    10,699.84/14,765.64 = 5,984.08/x
  3. Step 3: Cross multiply
    10,699.84x = 14,765.64 × 5,984.08
  4. Step 4: Simplify right side
    10,699.84x = 88,358,771.01
  5. Step 5: Solve for x
    x = 88,358,771.01/10,699.84
  6. Step 6: Final answer
    x = 8,257.95

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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.