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Finding the Fourth Proportional to 9,803.54, 14,705.28 and 4,256.16

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Solution

The fourth proportional to 9,803.54, 14,705.28 and 4,256.16 is: 6,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.54 : 14,705.28 = 4,256.16 : x
  2. Step 2: Convert to fraction form
    9,803.54/14,705.28 = 4,256.16/x
  3. Step 3: Cross multiply
    9,803.54x = 14,705.28 × 4,256.16
  4. Step 4: Simplify right side
    9,803.54x = 62,588,024.52
  5. Step 5: Solve for x
    x = 62,588,024.52/9,803.54
  6. Step 6: Final answer
    x = 6,384.23

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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.