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Finding the Fourth Proportional to 9,577.63, 13,225.44 and 7,064.10

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Solution

The fourth proportional to 9,577.63, 13,225.44 and 7,064.10 is: 9,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.63 : 13,225.44 = 7,064.10 : x
  2. Step 2: Convert to fraction form
    9,577.63/13,225.44 = 7,064.10/x
  3. Step 3: Cross multiply
    9,577.63x = 13,225.44 × 7,064.10
  4. Step 4: Simplify right side
    9,577.63x = 93,425,830.70
  5. Step 5: Solve for x
    x = 93,425,830.70/9,577.63
  6. Step 6: Final answer
    x = 9,754.59

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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.