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Finding the Fourth Proportional to 9,699.66, 13,385.18 and 5,929.14

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Solution

The fourth proportional to 9,699.66, 13,385.18 and 5,929.14 is: 8,182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.66 : 13,385.18 = 5,929.14 : x
  2. Step 2: Convert to fraction form
    9,699.66/13,385.18 = 5,929.14/x
  3. Step 3: Cross multiply
    9,699.66x = 13,385.18 × 5,929.14
  4. Step 4: Simplify right side
    9,699.66x = 79,362,576.50
  5. Step 5: Solve for x
    x = 79,362,576.50/9,699.66
  6. Step 6: Final answer
    x = 8,182.00

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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.