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Finding the Fourth Proportional to 9,075.56, 12,530.58 and 6,984.68

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Solution

The fourth proportional to 9,075.56, 12,530.58 and 6,984.68 is: 9,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.56 : 12,530.58 = 6,984.68 : x
  2. Step 2: Convert to fraction form
    9,075.56/12,530.58 = 6,984.68/x
  3. Step 3: Cross multiply
    9,075.56x = 12,530.58 × 6,984.68
  4. Step 4: Simplify right side
    9,075.56x = 87,522,091.51
  5. Step 5: Solve for x
    x = 87,522,091.51/9,075.56
  6. Step 6: Final answer
    x = 9,643.71

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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.