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Finding the Fourth Proportional to 9,700.30, 14,551.80 and 4,153.60

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Solution

The fourth proportional to 9,700.30, 14,551.80 and 4,153.60 is: 6,230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.30 : 14,551.80 = 4,153.60 : x
  2. Step 2: Convert to fraction form
    9,700.30/14,551.80 = 4,153.60/x
  3. Step 3: Cross multiply
    9,700.30x = 14,551.80 × 4,153.60
  4. Step 4: Simplify right side
    9,700.30x = 60,442,356.48
  5. Step 5: Solve for x
    x = 60,442,356.48/9,700.30
  6. Step 6: Final answer
    x = 6,230.98

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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.