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Finding the Fourth Proportional to 35,695.70, 53,538.98 and 9,402.46

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Solution

The fourth proportional to 35,695.70, 53,538.98 and 9,402.46 is: 14,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,695.70 : 53,538.98 = 9,402.46 : x
  2. Step 2: Convert to fraction form
    35,695.70/53,538.98 = 9,402.46/x
  3. Step 3: Cross multiply
    35,695.70x = 53,538.98 × 9,402.46
  4. Step 4: Simplify right side
    35,695.70x = 503,398,117.89
  5. Step 5: Solve for x
    x = 503,398,117.89/35,695.70
  6. Step 6: Final answer
    x = 14,102.49

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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.