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Finding the Fourth Proportional to 9,535, 13,158.30 and 5,343.52

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Solution

The fourth proportional to 9,535, 13,158.30 and 5,343.52 is: 7,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535 : 13,158.30 = 5,343.52 : x
  2. Step 2: Convert to fraction form
    9,535/13,158.30 = 5,343.52/x
  3. Step 3: Cross multiply
    9,535x = 13,158.30 × 5,343.52
  4. Step 4: Simplify right side
    9,535x = 70,311,639.22
  5. Step 5: Solve for x
    x = 70,311,639.22/9,535
  6. Step 6: Final answer
    x = 7,374.06

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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.