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Finding the Fourth Proportional to 9,897.63, 14,782.16 and 8,585.43

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Solution

The fourth proportional to 9,897.63, 14,782.16 and 8,585.43 is: 12,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.63 : 14,782.16 = 8,585.43 : x
  2. Step 2: Convert to fraction form
    9,897.63/14,782.16 = 8,585.43/x
  3. Step 3: Cross multiply
    9,897.63x = 14,782.16 × 8,585.43
  4. Step 4: Simplify right side
    9,897.63x = 126,911,157.00
  5. Step 5: Solve for x
    x = 126,911,157.00/9,897.63
  6. Step 6: Final answer
    x = 12,822.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.