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Finding the Fourth Proportional to 14,615.60, 21,923.40 and 9,075.20

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Solution

The fourth proportional to 14,615.60, 21,923.40 and 9,075.20 is: 13,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.60 : 21,923.40 = 9,075.20 : x
  2. Step 2: Convert to fraction form
    14,615.60/21,923.40 = 9,075.20/x
  3. Step 3: Cross multiply
    14,615.60x = 21,923.40 × 9,075.20
  4. Step 4: Simplify right side
    14,615.60x = 198,959,239.68
  5. Step 5: Solve for x
    x = 198,959,239.68/14,615.60
  6. Step 6: Final answer
    x = 13,612.80

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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.