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Finding the Fourth Proportional to 10,441.51, 15,646.91 and 7,655.14

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Solution

The fourth proportional to 10,441.51, 15,646.91 and 7,655.14 is: 11,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.51 : 15,646.91 = 7,655.14 : x
  2. Step 2: Convert to fraction form
    10,441.51/15,646.91 = 7,655.14/x
  3. Step 3: Cross multiply
    10,441.51x = 15,646.91 × 7,655.14
  4. Step 4: Simplify right side
    10,441.51x = 119,779,267.90
  5. Step 5: Solve for x
    x = 119,779,267.90/10,441.51
  6. Step 6: Final answer
    x = 11,471.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.