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Finding the Fourth Proportional to 9,707.76, 14,564.52 and 4,519.92

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Solution

The fourth proportional to 9,707.76, 14,564.52 and 4,519.92 is: 6,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.76 : 14,564.52 = 4,519.92 : x
  2. Step 2: Convert to fraction form
    9,707.76/14,564.52 = 4,519.92/x
  3. Step 3: Cross multiply
    9,707.76x = 14,564.52 × 4,519.92
  4. Step 4: Simplify right side
    9,707.76x = 65,830,465.24
  5. Step 5: Solve for x
    x = 65,830,465.24/9,707.76
  6. Step 6: Final answer
    x = 6,781.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.