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Finding the Fourth Proportional to 10,075.20, 14,116.80 and 10,075.20

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Solution

The fourth proportional to 10,075.20, 14,116.80 and 10,075.20 is: 14,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.20 : 14,116.80 = 10,075.20 : x
  2. Step 2: Convert to fraction form
    10,075.20/14,116.80 = 10,075.20/x
  3. Step 3: Cross multiply
    10,075.20x = 14,116.80 × 10,075.20
  4. Step 4: Simplify right side
    10,075.20x = 142,229,583.36
  5. Step 5: Solve for x
    x = 142,229,583.36/10,075.20
  6. Step 6: Final answer
    x = 14,116.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.