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Finding the Fourth Proportional to 14,214.95, 19,615.71 and 7,841.59

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Solution

The fourth proportional to 14,214.95, 19,615.71 and 7,841.59 is: 10,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.95 : 19,615.71 = 7,841.59 : x
  2. Step 2: Convert to fraction form
    14,214.95/19,615.71 = 7,841.59/x
  3. Step 3: Cross multiply
    14,214.95x = 19,615.71 × 7,841.59
  4. Step 4: Simplify right side
    14,214.95x = 153,818,355.38
  5. Step 5: Solve for x
    x = 153,818,355.38/14,214.95
  6. Step 6: Final answer
    x = 10,820.89

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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.