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Finding the Fourth Proportional to 9,588, 13,232.16 and 5,396.16

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Solution

The fourth proportional to 9,588, 13,232.16 and 5,396.16 is: 7,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588 : 13,232.16 = 5,396.16 : x
  2. Step 2: Convert to fraction form
    9,588/13,232.16 = 5,396.16/x
  3. Step 3: Cross multiply
    9,588x = 13,232.16 × 5,396.16
  4. Step 4: Simplify right side
    9,588x = 71,402,852.51
  5. Step 5: Solve for x
    x = 71,402,852.51/9,588
  6. Step 6: Final answer
    x = 7,447.11

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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.