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Finding the Fourth Proportional to 7,547.84, 10,416.14 and 4,190.87

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Solution

The fourth proportional to 7,547.84, 10,416.14 and 4,190.87 is: 5,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.84 : 10,416.14 = 4,190.87 : x
  2. Step 2: Convert to fraction form
    7,547.84/10,416.14 = 4,190.87/x
  3. Step 3: Cross multiply
    7,547.84x = 10,416.14 × 4,190.87
  4. Step 4: Simplify right side
    7,547.84x = 43,652,615.61
  5. Step 5: Solve for x
    x = 43,652,615.61/7,547.84
  6. Step 6: Final answer
    x = 5,783.46

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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.