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Finding the Fourth Proportional to 14,337.60, 19,784.78 and 8,048.76

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Solution

The fourth proportional to 14,337.60, 19,784.78 and 8,048.76 is: 11,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337.60 : 19,784.78 = 8,048.76 : x
  2. Step 2: Convert to fraction form
    14,337.60/19,784.78 = 8,048.76/x
  3. Step 3: Cross multiply
    14,337.60x = 19,784.78 × 8,048.76
  4. Step 4: Simplify right side
    14,337.60x = 159,242,945.87
  5. Step 5: Solve for x
    x = 159,242,945.87/14,337.60
  6. Step 6: Final answer
    x = 11,106.67

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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.