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Finding the Fourth Proportional to 35,800.14, 53,695.98 and 9,506.90

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Solution

The fourth proportional to 35,800.14, 53,695.98 and 9,506.90 is: 14,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,800.14 : 53,695.98 = 9,506.90 : x
  2. Step 2: Convert to fraction form
    35,800.14/53,695.98 = 9,506.90/x
  3. Step 3: Cross multiply
    35,800.14x = 53,695.98 × 9,506.90
  4. Step 4: Simplify right side
    35,800.14x = 510,482,312.26
  5. Step 5: Solve for x
    x = 510,482,312.26/35,800.14
  6. Step 6: Final answer
    x = 14,259.23

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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.