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Finding the Fourth Proportional to 10,775.54, 14,866.78 and 6,525.24

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Solution

The fourth proportional to 10,775.54, 14,866.78 and 6,525.24 is: 9,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.54 : 14,866.78 = 6,525.24 : x
  2. Step 2: Convert to fraction form
    10,775.54/14,866.78 = 6,525.24/x
  3. Step 3: Cross multiply
    10,775.54x = 14,866.78 × 6,525.24
  4. Step 4: Simplify right side
    10,775.54x = 97,009,274.90
  5. Step 5: Solve for x
    x = 97,009,274.90/10,775.54
  6. Step 6: Final answer
    x = 9,002.73

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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.