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Finding the Fourth Proportional to 7,875.76, 11,814.32 and 2,032.32

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Solution

The fourth proportional to 7,875.76, 11,814.32 and 2,032.32 is: 3,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.76 : 11,814.32 = 2,032.32 : x
  2. Step 2: Convert to fraction form
    7,875.76/11,814.32 = 2,032.32/x
  3. Step 3: Cross multiply
    7,875.76x = 11,814.32 × 2,032.32
  4. Step 4: Simplify right side
    7,875.76x = 24,010,478.82
  5. Step 5: Solve for x
    x = 24,010,478.82/7,875.76
  6. Step 6: Final answer
    x = 3,048.66

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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.