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Finding the Fourth Proportional to 9,533, 13,155.54 and 5,341.34

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Solution

The fourth proportional to 9,533, 13,155.54 and 5,341.34 is: 7,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533 : 13,155.54 = 5,341.34 : x
  2. Step 2: Convert to fraction form
    9,533/13,155.54 = 5,341.34/x
  3. Step 3: Cross multiply
    9,533x = 13,155.54 × 5,341.34
  4. Step 4: Simplify right side
    9,533x = 70,268,212.02
  5. Step 5: Solve for x
    x = 70,268,212.02/9,533
  6. Step 6: Final answer
    x = 7,371.05

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Double scale
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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.