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Finding the Fourth Proportional to 10,775.63, 14,866.91 and 6,525.33

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Solution

The fourth proportional to 10,775.63, 14,866.91 and 6,525.33 is: 9,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.63 : 14,866.91 = 6,525.33 : x
  2. Step 2: Convert to fraction form
    10,775.63/14,866.91 = 6,525.33/x
  3. Step 3: Cross multiply
    10,775.63x = 14,866.91 × 6,525.33
  4. Step 4: Simplify right side
    10,775.63x = 97,011,514.68
  5. Step 5: Solve for x
    x = 97,011,514.68/10,775.63
  6. Step 6: Final answer
    x = 9,002.86

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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.