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Finding the Fourth Proportional to 35,666.84, 53,501.62 and 9,374.24

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Solution

The fourth proportional to 35,666.84, 53,501.62 and 9,374.24 is: 14,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,666.84 : 53,501.62 = 9,374.24 : x
  2. Step 2: Convert to fraction form
    35,666.84/53,501.62 = 9,374.24/x
  3. Step 3: Cross multiply
    35,666.84x = 53,501.62 × 9,374.24
  4. Step 4: Simplify right side
    35,666.84x = 501,537,026.27
  5. Step 5: Solve for x
    x = 501,537,026.27/35,666.84
  6. Step 6: Final answer
    x = 14,061.72

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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.