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Finding the Fourth Proportional to 9,560, 13,192.80 and 5,368.16

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Solution

The fourth proportional to 9,560, 13,192.80 and 5,368.16 is: 7,408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560 : 13,192.80 = 5,368.16 : x
  2. Step 2: Convert to fraction form
    9,560/13,192.80 = 5,368.16/x
  3. Step 3: Cross multiply
    9,560x = 13,192.80 × 5,368.16
  4. Step 4: Simplify right side
    9,560x = 70,821,061.25
  5. Step 5: Solve for x
    x = 70,821,061.25/9,560
  6. Step 6: Final answer
    x = 7,408.06

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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.