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Finding the Fourth Proportional to 9,741.60, 14,597.28 and 7,264.80

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Solution

The fourth proportional to 9,741.60, 14,597.28 and 7,264.80 is: 10,885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.60 : 14,597.28 = 7,264.80 : x
  2. Step 2: Convert to fraction form
    9,741.60/14,597.28 = 7,264.80/x
  3. Step 3: Cross multiply
    9,741.60x = 14,597.28 × 7,264.80
  4. Step 4: Simplify right side
    9,741.60x = 106,046,319.74
  5. Step 5: Solve for x
    x = 106,046,319.74/9,741.60
  6. Step 6: Final answer
    x = 10,885.92

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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.