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Finding the Fourth Proportional to 9,649.80, 14,501.97 and 8,985.06

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Solution

The fourth proportional to 9,649.80, 14,501.97 and 8,985.06 is: 13,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.80 : 14,501.97 = 8,985.06 : x
  2. Step 2: Convert to fraction form
    9,649.80/14,501.97 = 8,985.06/x
  3. Step 3: Cross multiply
    9,649.80x = 14,501.97 × 8,985.06
  4. Step 4: Simplify right side
    9,649.80x = 130,301,070.57
  5. Step 5: Solve for x
    x = 130,301,070.57/9,649.80
  6. Step 6: Final answer
    x = 13,502.98

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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.