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Finding the Fourth Proportional to 14,594.63, 20,140.61 and 8,307

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Solution

The fourth proportional to 14,594.63, 20,140.61 and 8,307 is: 11,463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.63 : 20,140.61 = 8,307 : x
  2. Step 2: Convert to fraction form
    14,594.63/20,140.61 = 8,307/x
  3. Step 3: Cross multiply
    14,594.63x = 20,140.61 × 8,307
  4. Step 4: Simplify right side
    14,594.63x = 167,308,005.74
  5. Step 5: Solve for x
    x = 167,308,005.74/14,594.63
  6. Step 6: Final answer
    x = 11,463.67

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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.