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Finding the Fourth Proportional to 9,352.59, 12,907.79 and 5,374.47

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Solution

The fourth proportional to 9,352.59, 12,907.79 and 5,374.47 is: 7,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.59 : 12,907.79 = 5,374.47 : x
  2. Step 2: Convert to fraction form
    9,352.59/12,907.79 = 5,374.47/x
  3. Step 3: Cross multiply
    9,352.59x = 12,907.79 × 5,374.47
  4. Step 4: Simplify right side
    9,352.59x = 69,372,503.25
  5. Step 5: Solve for x
    x = 69,372,503.25/9,352.59
  6. Step 6: Final answer
    x = 7,417.46

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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.