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Finding the Fourth Proportional to 35,803.47, 53,705.24 and 9,507.57

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Solution

The fourth proportional to 35,803.47, 53,705.24 and 9,507.57 is: 14,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,803.47 : 53,705.24 = 9,507.57 : x
  2. Step 2: Convert to fraction form
    35,803.47/53,705.24 = 9,507.57/x
  3. Step 3: Cross multiply
    35,803.47x = 53,705.24 × 9,507.57
  4. Step 4: Simplify right side
    35,803.47x = 510,606,328.67
  5. Step 5: Solve for x
    x = 510,606,328.67/35,803.47
  6. Step 6: Final answer
    x = 14,261.36

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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.