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Finding the Fourth Proportional to 7,740.04, 11,651.91 and 7,051.14

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Solution

The fourth proportional to 7,740.04, 11,651.91 and 7,051.14 is: 10,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.04 : 11,651.91 = 7,051.14 : x
  2. Step 2: Convert to fraction form
    7,740.04/11,651.91 = 7,051.14/x
  3. Step 3: Cross multiply
    7,740.04x = 11,651.91 × 7,051.14
  4. Step 4: Simplify right side
    7,740.04x = 82,159,155.16
  5. Step 5: Solve for x
    x = 82,159,155.16/7,740.04
  6. Step 6: Final answer
    x = 10,614.82

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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.