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Finding the Fourth Proportional to 9,484.59, 13,075.13 and 7,464.50

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Solution

The fourth proportional to 9,484.59, 13,075.13 and 7,464.50 is: 10,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.59 : 13,075.13 = 7,464.50 : x
  2. Step 2: Convert to fraction form
    9,484.59/13,075.13 = 7,464.50/x
  3. Step 3: Cross multiply
    9,484.59x = 13,075.13 × 7,464.50
  4. Step 4: Simplify right side
    9,484.59x = 97,599,270.56
  5. Step 5: Solve for x
    x = 97,599,270.56/9,484.59
  6. Step 6: Final answer
    x = 10,290.30

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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.