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Finding the Fourth Proportional to 9,853.76, 14,772.32 and 4,586.05

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Solution

The fourth proportional to 9,853.76, 14,772.32 and 4,586.05 is: 6,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.76 : 14,772.32 = 4,586.05 : x
  2. Step 2: Convert to fraction form
    9,853.76/14,772.32 = 4,586.05/x
  3. Step 3: Cross multiply
    9,853.76x = 14,772.32 × 4,586.05
  4. Step 4: Simplify right side
    9,853.76x = 67,746,610.87
  5. Step 5: Solve for x
    x = 67,746,610.87/9,853.76
  6. Step 6: Final answer
    x = 6,875.20

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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.