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Finding the Fourth Proportional to 9,749.36, 14,598.53 and 7,559.93

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Solution

The fourth proportional to 9,749.36, 14,598.53 and 7,559.93 is: 11,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.36 : 14,598.53 = 7,559.93 : x
  2. Step 2: Convert to fraction form
    9,749.36/14,598.53 = 7,559.93/x
  3. Step 3: Cross multiply
    9,749.36x = 14,598.53 × 7,559.93
  4. Step 4: Simplify right side
    9,749.36x = 110,363,891.95
  5. Step 5: Solve for x
    x = 110,363,891.95/9,749.36
  6. Step 6: Final answer
    x = 11,320.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.