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Finding the Fourth Proportional to 10,699.93, 14,765.93 and 5,984.29

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Solution

The fourth proportional to 10,699.93, 14,765.93 and 5,984.29 is: 8,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.93 : 14,765.93 = 5,984.29 : x
  2. Step 2: Convert to fraction form
    10,699.93/14,765.93 = 5,984.29/x
  3. Step 3: Cross multiply
    10,699.93x = 14,765.93 × 5,984.29
  4. Step 4: Simplify right side
    10,699.93x = 88,363,607.24
  5. Step 5: Solve for x
    x = 88,363,607.24/10,699.93
  6. Step 6: Final answer
    x = 8,258.34

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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.