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Finding the Fourth Proportional to 9,748.64, 13,459.26 and 7,506.30

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Solution

The fourth proportional to 9,748.64, 13,459.26 and 7,506.30 is: 10,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.64 : 13,459.26 = 7,506.30 : x
  2. Step 2: Convert to fraction form
    9,748.64/13,459.26 = 7,506.30/x
  3. Step 3: Cross multiply
    9,748.64x = 13,459.26 × 7,506.30
  4. Step 4: Simplify right side
    9,748.64x = 101,029,243.34
  5. Step 5: Solve for x
    x = 101,029,243.34/9,748.64
  6. Step 6: Final answer
    x = 10,363.42

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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.