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Finding the Fourth Proportional to 7,430.64, 10,254.48 and 4,287

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Solution

The fourth proportional to 7,430.64, 10,254.48 and 4,287 is: 5,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.64 : 10,254.48 = 4,287 : x
  2. Step 2: Convert to fraction form
    7,430.64/10,254.48 = 4,287/x
  3. Step 3: Cross multiply
    7,430.64x = 10,254.48 × 4,287
  4. Step 4: Simplify right side
    7,430.64x = 43,960,955.76
  5. Step 5: Solve for x
    x = 43,960,955.76/7,430.64
  6. Step 6: Final answer
    x = 5,916.17

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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.