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Finding the Fourth Proportional to 10,615.68, 14,637.84 and 7,259.04

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Solution

The fourth proportional to 10,615.68, 14,637.84 and 7,259.04 is: 10,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.68 : 14,637.84 = 7,259.04 : x
  2. Step 2: Convert to fraction form
    10,615.68/14,637.84 = 7,259.04/x
  3. Step 3: Cross multiply
    10,615.68x = 14,637.84 × 7,259.04
  4. Step 4: Simplify right side
    10,615.68x = 106,256,666.07
  5. Step 5: Solve for x
    x = 106,256,666.07/10,615.68
  6. Step 6: Final answer
    x = 10,009.41

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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.