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Finding the Fourth Proportional to 35,964.04, 53,946 and 9,668.78

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Solution

The fourth proportional to 35,964.04, 53,946 and 9,668.78 is: 14,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,964.04 : 53,946 = 9,668.78 : x
  2. Step 2: Convert to fraction form
    35,964.04/53,946 = 9,668.78/x
  3. Step 3: Cross multiply
    35,964.04x = 53,946 × 9,668.78
  4. Step 4: Simplify right side
    35,964.04x = 521,592,005.88
  5. Step 5: Solve for x
    x = 521,592,005.88/35,964.04
  6. Step 6: Final answer
    x = 14,503.15

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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.