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Finding the Fourth Proportional to 10,041.66, 13,862.32 and 7,060.04

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Solution

The fourth proportional to 10,041.66, 13,862.32 and 7,060.04 is: 9,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.66 : 13,862.32 = 7,060.04 : x
  2. Step 2: Convert to fraction form
    10,041.66/13,862.32 = 7,060.04/x
  3. Step 3: Cross multiply
    10,041.66x = 13,862.32 × 7,060.04
  4. Step 4: Simplify right side
    10,041.66x = 97,868,533.69
  5. Step 5: Solve for x
    x = 97,868,533.69/10,041.66
  6. Step 6: Final answer
    x = 9,746.25

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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.