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Finding the Fourth Proportional to 9,075.92, 12,524.82 and 5,097.20

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Solution

The fourth proportional to 9,075.92, 12,524.82 and 5,097.20 is: 7,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.92 : 12,524.82 = 5,097.20 : x
  2. Step 2: Convert to fraction form
    9,075.92/12,524.82 = 5,097.20/x
  3. Step 3: Cross multiply
    9,075.92x = 12,524.82 × 5,097.20
  4. Step 4: Simplify right side
    9,075.92x = 63,841,512.50
  5. Step 5: Solve for x
    x = 63,841,512.50/9,075.92
  6. Step 6: Final answer
    x = 7,034.16

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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.