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Finding the Fourth Proportional to 14,444.76, 19,933.76 and 7,820.76

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Solution

The fourth proportional to 14,444.76, 19,933.76 and 7,820.76 is: 10,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,444.76 : 19,933.76 = 7,820.76 : x
  2. Step 2: Convert to fraction form
    14,444.76/19,933.76 = 7,820.76/x
  3. Step 3: Cross multiply
    14,444.76x = 19,933.76 × 7,820.76
  4. Step 4: Simplify right side
    14,444.76x = 155,897,152.86
  5. Step 5: Solve for x
    x = 155,897,152.86/14,444.76
  6. Step 6: Final answer
    x = 10,792.64

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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.