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Finding the Fourth Proportional to 10,597.60, 15,885.30 and 5,048.32

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Solution

The fourth proportional to 10,597.60, 15,885.30 and 5,048.32 is: 7,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.60 : 15,885.30 = 5,048.32 : x
  2. Step 2: Convert to fraction form
    10,597.60/15,885.30 = 5,048.32/x
  3. Step 3: Cross multiply
    10,597.60x = 15,885.30 × 5,048.32
  4. Step 4: Simplify right side
    10,597.60x = 80,194,077.70
  5. Step 5: Solve for x
    x = 80,194,077.70/10,597.60
  6. Step 6: Final answer
    x = 7,567.19

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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.