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Finding the Fourth Proportional to 14,265.60, 21,411.48 and 7,698.24

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Solution

The fourth proportional to 14,265.60, 21,411.48 and 7,698.24 is: 11,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.60 : 21,411.48 = 7,698.24 : x
  2. Step 2: Convert to fraction form
    14,265.60/21,411.48 = 7,698.24/x
  3. Step 3: Cross multiply
    14,265.60x = 21,411.48 × 7,698.24
  4. Step 4: Simplify right side
    14,265.60x = 164,830,711.80
  5. Step 5: Solve for x
    x = 164,830,711.80/14,265.60
  6. Step 6: Final answer
    x = 11,554.42

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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.