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Finding the Fourth Proportional to 10,554.47, 14,565.22 and 5,774.47

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Solution

The fourth proportional to 10,554.47, 14,565.22 and 5,774.47 is: 7,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.47 : 14,565.22 = 5,774.47 : x
  2. Step 2: Convert to fraction form
    10,554.47/14,565.22 = 5,774.47/x
  3. Step 3: Cross multiply
    10,554.47x = 14,565.22 × 5,774.47
  4. Step 4: Simplify right side
    10,554.47x = 84,106,432.11
  5. Step 5: Solve for x
    x = 84,106,432.11/10,554.47
  6. Step 6: Final answer
    x = 7,968.80

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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.