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Finding the Fourth Proportional to 8,530.54, 11,760.69 and 7,655.74

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Solution

The fourth proportional to 8,530.54, 11,760.69 and 7,655.74 is: 10,554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.54 : 11,760.69 = 7,655.74 : x
  2. Step 2: Convert to fraction form
    8,530.54/11,760.69 = 7,655.74/x
  3. Step 3: Cross multiply
    8,530.54x = 11,760.69 × 7,655.74
  4. Step 4: Simplify right side
    8,530.54x = 90,036,784.86
  5. Step 5: Solve for x
    x = 90,036,784.86/8,530.54
  6. Step 6: Final answer
    x = 10,554.64

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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.