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Finding the Fourth Proportional to 35,702.94, 53,549.76 and 9,409.74

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Solution

The fourth proportional to 35,702.94, 53,549.76 and 9,409.74 is: 14,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702.94 : 53,549.76 = 9,409.74 : x
  2. Step 2: Convert to fraction form
    35,702.94/53,549.76 = 9,409.74/x
  3. Step 3: Cross multiply
    35,702.94x = 53,549.76 × 9,409.74
  4. Step 4: Simplify right side
    35,702.94x = 503,889,318.66
  5. Step 5: Solve for x
    x = 503,889,318.66/35,702.94
  6. Step 6: Final answer
    x = 14,113.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.