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Finding the Fourth Proportional to 7,710.86, 10,641 and 4,174.07

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Solution

The fourth proportional to 7,710.86, 10,641 and 4,174.07 is: 5,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.86 : 10,641 = 4,174.07 : x
  2. Step 2: Convert to fraction form
    7,710.86/10,641 = 4,174.07/x
  3. Step 3: Cross multiply
    7,710.86x = 10,641 × 4,174.07
  4. Step 4: Simplify right side
    7,710.86x = 44,416,225.67
  5. Step 5: Solve for x
    x = 44,416,225.67/7,710.86
  6. Step 6: Final answer
    x = 5,760.22

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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.