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Finding the Fourth Proportional to 9,752.98, 13,459.11 and 5,276.73

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Solution

The fourth proportional to 9,752.98, 13,459.11 and 5,276.73 is: 7,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.98 : 13,459.11 = 5,276.73 : x
  2. Step 2: Convert to fraction form
    9,752.98/13,459.11 = 5,276.73/x
  3. Step 3: Cross multiply
    9,752.98x = 13,459.11 × 5,276.73
  4. Step 4: Simplify right side
    9,752.98x = 71,020,089.51
  5. Step 5: Solve for x
    x = 71,020,089.51/9,752.98
  6. Step 6: Final answer
    x = 7,281.89

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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.