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Finding the Fourth Proportional to 11,594, 15,999.56 and 6,288.76

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Solution

The fourth proportional to 11,594, 15,999.56 and 6,288.76 is: 8,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594 : 15,999.56 = 6,288.76 : x
  2. Step 2: Convert to fraction form
    11,594/15,999.56 = 6,288.76/x
  3. Step 3: Cross multiply
    11,594x = 15,999.56 × 6,288.76
  4. Step 4: Simplify right side
    11,594x = 100,617,392.95
  5. Step 5: Solve for x
    x = 100,617,392.95/11,594
  6. Step 6: Final answer
    x = 8,678.40

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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.