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Finding the Fourth Proportional to 10,038.99, 13,853.05 and 5,562.65

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Solution

The fourth proportional to 10,038.99, 13,853.05 and 5,562.65 is: 7,676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.99 : 13,853.05 = 5,562.65 : x
  2. Step 2: Convert to fraction form
    10,038.99/13,853.05 = 5,562.65/x
  3. Step 3: Cross multiply
    10,038.99x = 13,853.05 × 5,562.65
  4. Step 4: Simplify right side
    10,038.99x = 77,059,665.99
  5. Step 5: Solve for x
    x = 77,059,665.99/10,038.99
  6. Step 6: Final answer
    x = 7,676.03

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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.