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Finding the Fourth Proportional to 9,564.48, 13,208.48 and 7,595.84

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Solution

The fourth proportional to 9,564.48, 13,208.48 and 7,595.84 is: 10,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.48 : 13,208.48 = 7,595.84 : x
  2. Step 2: Convert to fraction form
    9,564.48/13,208.48 = 7,595.84/x
  3. Step 3: Cross multiply
    9,564.48x = 13,208.48 × 7,595.84
  4. Step 4: Simplify right side
    9,564.48x = 100,329,500.72
  5. Step 5: Solve for x
    x = 100,329,500.72/9,564.48
  6. Step 6: Final answer
    x = 10,489.80

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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.