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Finding the Fourth Proportional to 9,765.61, 13,476.48 and 5,289.32

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Solution

The fourth proportional to 9,765.61, 13,476.48 and 5,289.32 is: 7,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.61 : 13,476.48 = 5,289.32 : x
  2. Step 2: Convert to fraction form
    9,765.61/13,476.48 = 5,289.32/x
  3. Step 3: Cross multiply
    9,765.61x = 13,476.48 × 5,289.32
  4. Step 4: Simplify right side
    9,765.61x = 71,281,429.05
  5. Step 5: Solve for x
    x = 71,281,429.05/9,765.61
  6. Step 6: Final answer
    x = 7,299.23

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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.