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Finding the Fourth Proportional to 9,901.52, 13,577.38 and 9,570.32

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Solution

The fourth proportional to 9,901.52, 13,577.38 and 9,570.32 is: 13,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.52 : 13,577.38 = 9,570.32 : x
  2. Step 2: Convert to fraction form
    9,901.52/13,577.38 = 9,570.32/x
  3. Step 3: Cross multiply
    9,901.52x = 13,577.38 × 9,570.32
  4. Step 4: Simplify right side
    9,901.52x = 129,939,871.36
  5. Step 5: Solve for x
    x = 129,939,871.36/9,901.52
  6. Step 6: Final answer
    x = 13,123.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.