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Finding the Fourth Proportional to 9,750.94, 13,452.95 and 5,501.47

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Solution

The fourth proportional to 9,750.94, 13,452.95 and 5,501.47 is: 7,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.94 : 13,452.95 = 5,501.47 : x
  2. Step 2: Convert to fraction form
    9,750.94/13,452.95 = 5,501.47/x
  3. Step 3: Cross multiply
    9,750.94x = 13,452.95 × 5,501.47
  4. Step 4: Simplify right side
    9,750.94x = 74,011,000.84
  5. Step 5: Solve for x
    x = 74,011,000.84/9,750.94
  6. Step 6: Final answer
    x = 7,590.14

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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.