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Finding the Fourth Proportional to 10,400.61, 14,368.02 and 9,000.93

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Solution

The fourth proportional to 10,400.61, 14,368.02 and 9,000.93 is: 12,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.61 : 14,368.02 = 9,000.93 : x
  2. Step 2: Convert to fraction form
    10,400.61/14,368.02 = 9,000.93/x
  3. Step 3: Cross multiply
    10,400.61x = 14,368.02 × 9,000.93
  4. Step 4: Simplify right side
    10,400.61x = 129,325,542.26
  5. Step 5: Solve for x
    x = 129,325,542.26/10,400.61
  6. Step 6: Final answer
    x = 12,434.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.