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Finding the Fourth Proportional to 7,655.50, 10,565.40 and 4,861

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Solution

The fourth proportional to 7,655.50, 10,565.40 and 4,861 is: 6,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.50 : 10,565.40 = 4,861 : x
  2. Step 2: Convert to fraction form
    7,655.50/10,565.40 = 4,861/x
  3. Step 3: Cross multiply
    7,655.50x = 10,565.40 × 4,861
  4. Step 4: Simplify right side
    7,655.50x = 51,358,409.40
  5. Step 5: Solve for x
    x = 51,358,409.40/7,655.50
  6. Step 6: Final answer
    x = 6,708.69

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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.