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Finding the Fourth Proportional to 10,655.54, 14,693.10 and 7,254.75

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Solution

The fourth proportional to 10,655.54, 14,693.10 and 7,254.75 is: 10,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.54 : 14,693.10 = 7,254.75 : x
  2. Step 2: Convert to fraction form
    10,655.54/14,693.10 = 7,254.75/x
  3. Step 3: Cross multiply
    10,655.54x = 14,693.10 × 7,254.75
  4. Step 4: Simplify right side
    10,655.54x = 106,594,767.23
  5. Step 5: Solve for x
    x = 106,594,767.23/10,655.54
  6. Step 6: Final answer
    x = 10,003.70

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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.