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Finding the Fourth Proportional to 9,761.83, 14,646.14 and 7,095.92

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Solution

The fourth proportional to 9,761.83, 14,646.14 and 7,095.92 is: 10,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.83 : 14,646.14 = 7,095.92 : x
  2. Step 2: Convert to fraction form
    9,761.83/14,646.14 = 7,095.92/x
  3. Step 3: Cross multiply
    9,761.83x = 14,646.14 × 7,095.92
  4. Step 4: Simplify right side
    9,761.83x = 103,927,837.75
  5. Step 5: Solve for x
    x = 103,927,837.75/9,761.83
  6. Step 6: Final answer
    x = 10,646.35

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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.