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Finding the Fourth Proportional to 7,740.54, 11,652.66 and 7,051.64

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Solution

The fourth proportional to 7,740.54, 11,652.66 and 7,051.64 is: 10,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.54 : 11,652.66 = 7,051.64 : x
  2. Step 2: Convert to fraction form
    7,740.54/11,652.66 = 7,051.64/x
  3. Step 3: Cross multiply
    7,740.54x = 11,652.66 × 7,051.64
  4. Step 4: Simplify right side
    7,740.54x = 82,170,305.10
  5. Step 5: Solve for x
    x = 82,170,305.10/7,740.54
  6. Step 6: Final answer
    x = 10,615.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.