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Finding the Fourth Proportional to 35,909.76, 53,865.06 and 9,614.16

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Solution

The fourth proportional to 35,909.76, 53,865.06 and 9,614.16 is: 14,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,909.76 : 53,865.06 = 9,614.16 : x
  2. Step 2: Convert to fraction form
    35,909.76/53,865.06 = 9,614.16/x
  3. Step 3: Cross multiply
    35,909.76x = 53,865.06 × 9,614.16
  4. Step 4: Simplify right side
    35,909.76x = 517,867,305.25
  5. Step 5: Solve for x
    x = 517,867,305.25/35,909.76
  6. Step 6: Final answer
    x = 14,421.35

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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.