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Finding the Fourth Proportional to 7,254.86, 10,001 and 5,659.72

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Solution

The fourth proportional to 7,254.86, 10,001 and 5,659.72 is: 7,802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.86 : 10,001 = 5,659.72 : x
  2. Step 2: Convert to fraction form
    7,254.86/10,001 = 5,659.72/x
  3. Step 3: Cross multiply
    7,254.86x = 10,001 × 5,659.72
  4. Step 4: Simplify right side
    7,254.86x = 56,602,809.72
  5. Step 5: Solve for x
    x = 56,602,809.72/7,254.86
  6. Step 6: Final answer
    x = 7,802.05

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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.