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Finding the Fourth Proportional to 14,101.60, 19,459.92 and 7,813.84

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Solution

The fourth proportional to 14,101.60, 19,459.92 and 7,813.84 is: 10,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.60 : 19,459.92 = 7,813.84 : x
  2. Step 2: Convert to fraction form
    14,101.60/19,459.92 = 7,813.84/x
  3. Step 3: Cross multiply
    14,101.60x = 19,459.92 × 7,813.84
  4. Step 4: Simplify right side
    14,101.60x = 152,056,701.29
  5. Step 5: Solve for x
    x = 152,056,701.29/14,101.60
  6. Step 6: Final answer
    x = 10,782.94

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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.