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Finding the Fourth Proportional to 7,533.52, 10,397.48 and 7,201.28

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Solution

The fourth proportional to 7,533.52, 10,397.48 and 7,201.28 is: 9,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.52 : 10,397.48 = 7,201.28 : x
  2. Step 2: Convert to fraction form
    7,533.52/10,397.48 = 7,201.28/x
  3. Step 3: Cross multiply
    7,533.52x = 10,397.48 × 7,201.28
  4. Step 4: Simplify right side
    7,533.52x = 74,875,164.77
  5. Step 5: Solve for x
    x = 74,875,164.77/7,533.52
  6. Step 6: Final answer
    x = 9,938.93

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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.