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Finding the Fourth Proportional to 9,454.95, 13,053.42 and 8,403.98

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Solution

The fourth proportional to 9,454.95, 13,053.42 and 8,403.98 is: 11,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.95 : 13,053.42 = 8,403.98 : x
  2. Step 2: Convert to fraction form
    9,454.95/13,053.42 = 8,403.98/x
  3. Step 3: Cross multiply
    9,454.95x = 13,053.42 × 8,403.98
  4. Step 4: Simplify right side
    9,454.95x = 109,700,615.34
  5. Step 5: Solve for x
    x = 109,700,615.34/9,454.95
  6. Step 6: Final answer
    x = 11,602.45

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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.