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Finding the Fourth Proportional to 14,877.76, 22,316.64 and 5,643.76

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Solution

The fourth proportional to 14,877.76, 22,316.64 and 5,643.76 is: 8,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,877.76 : 22,316.64 = 5,643.76 : x
  2. Step 2: Convert to fraction form
    14,877.76/22,316.64 = 5,643.76/x
  3. Step 3: Cross multiply
    14,877.76x = 22,316.64 × 5,643.76
  4. Step 4: Simplify right side
    14,877.76x = 125,949,760.17
  5. Step 5: Solve for x
    x = 125,949,760.17/14,877.76
  6. Step 6: Final answer
    x = 8,465.64

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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.