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Finding the Fourth Proportional to 12,280, 18,398.16 and 7,075.12

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Solution

The fourth proportional to 12,280, 18,398.16 and 7,075.12 is: 10,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280 : 18,398.16 = 7,075.12 : x
  2. Step 2: Convert to fraction form
    12,280/18,398.16 = 7,075.12/x
  3. Step 3: Cross multiply
    12,280x = 18,398.16 × 7,075.12
  4. Step 4: Simplify right side
    12,280x = 130,169,189.78
  5. Step 5: Solve for x
    x = 130,169,189.78/12,280
  6. Step 6: Final answer
    x = 10,600.10

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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.