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Finding the Fourth Proportional to 35,897.99, 53,847 and 9,602.69

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Solution

The fourth proportional to 35,897.99, 53,847 and 9,602.69 is: 14,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.99 : 53,847 = 9,602.69 : x
  2. Step 2: Convert to fraction form
    35,897.99/53,847 = 9,602.69/x
  3. Step 3: Cross multiply
    35,897.99x = 53,847 × 9,602.69
  4. Step 4: Simplify right side
    35,897.99x = 517,075,779.20
  5. Step 5: Solve for x
    x = 517,075,779.20/35,897.99
  6. Step 6: Final answer
    x = 14,404.03

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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.