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Finding the Fourth Proportional to 10,897.62, 16,349.48 and 4,658.00

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Solution

The fourth proportional to 10,897.62, 16,349.48 and 4,658.00 is: 6,988.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.62 : 16,349.48 = 4,658.00 : x
  2. Step 2: Convert to fraction form
    10,897.62/16,349.48 = 4,658.00/x
  3. Step 3: Cross multiply
    10,897.62x = 16,349.48 × 4,658.00
  4. Step 4: Simplify right side
    10,897.62x = 76,155,772.80
  5. Step 5: Solve for x
    x = 76,155,772.80/10,897.62
  6. Step 6: Final answer
    x = 6,988.29

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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.