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Finding the Fourth Proportional to 9,765.34, 13,476.13 and 5,289.10

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Solution

The fourth proportional to 9,765.34, 13,476.13 and 5,289.10 is: 7,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.34 : 13,476.13 = 5,289.10 : x
  2. Step 2: Convert to fraction form
    9,765.34/13,476.13 = 5,289.10/x
  3. Step 3: Cross multiply
    9,765.34x = 13,476.13 × 5,289.10
  4. Step 4: Simplify right side
    9,765.34x = 71,276,552.27
  5. Step 5: Solve for x
    x = 71,276,552.27/9,765.34
  6. Step 6: Final answer
    x = 7,298.93

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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.