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Finding the Fourth Proportional to 10,554.66, 14,557.31 and 7,366.94

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Solution

The fourth proportional to 10,554.66, 14,557.31 and 7,366.94 is: 10,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.66 : 14,557.31 = 7,366.94 : x
  2. Step 2: Convert to fraction form
    10,554.66/14,557.31 = 7,366.94/x
  3. Step 3: Cross multiply
    10,554.66x = 14,557.31 × 7,366.94
  4. Step 4: Simplify right side
    10,554.66x = 107,242,719.71
  5. Step 5: Solve for x
    x = 107,242,719.71/10,554.66
  6. Step 6: Final answer
    x = 10,160.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.